Withdrawal speed: 5 to 30 minutes via UPI, 4 hours via NEFT, 24 to 48 hours via RTGS
Withdrawal speed math. UPI 5 to 30 min median. IMPS 30 to 120 min. NEFT 4 to 6 hour. RTGS 24 to 48 hour. Read the speed first.
The withdrawal in one read
Withdrawal speed math: UPI 5 to 30 min median. Vision11 fastest at 4 min.
Withdrawal cap: INR 1 lakh daily post KYC. Limit lift on request after 90 days.
Withdrawal verdict: UPI primary. IMPS fallback. NEFT 4-6 hour. RTGS 24-48 hour.
Why the withdrawal speed sets the operator rank
Withdrawal speed math: UPI 5 to 30 min. IMPS 30 to 120. NEFT 4 to 6 hour. RTGS 24 to 48 hour.
Top 100 winners across IPL 2024 averaged 4.2 lineups per match and capped bankroll at 5 percent of monthly entertainment spend. Single-match focus beats multi-match chase. UPI deposits typically clear 5 to 30 minutes. The 5 percent cap holds the line across full-season contests. Bankroll math scales. INR 5,000 monthly spend at 5 percent cap gives INR 250 per match. INR 20,000 monthly spend gives INR 1,000 per match. The cap stays 5 percent regardless of scale. Above 10 percent per match, the season-end variance jumps. Below 2 percent, you lose the upside multiplier.
Withdrawals via UPI clear in 5 to 30 minutes. IMPS clears 30 to 120 minutes. NEFT clears 4 to 6 hours. Bank transfer RTGS clears 24 to 48 hours. First withdrawal requires full KYC plus source-of-funds confirmation. Failed payout returns to operator wallet in 24 to 72 hours, retried on the same payment method works second time.
Source-of-funds check applies above INR 50,000 cumulative withdrawals. Withdrawal cap default INR 1 lakh per day post KYC. Limit lift available on request after 90 days of account history. KYC blocks: deposits above INR 10,000 per month by default. KYC unblocks: faster withdrawal, higher limits, all contests.
Quick reference
Cricket stats On the site, all read fresh from the past two IPL seasons.
Wankhede dew: 6 of 7 home wins, how the play reshuffles the XI
Wankhede Stadium hosted 7 IPL 2024 matches. The home side won 6. First-innings average 178. Dew cuts spin grip 30 percent, lifts pacers 15 percent. Play-time captain picks shift post-toss: if side batting second, pacers gain value.
Play-time bankroll math: 5 percent cap wins the IPL season
Top 100 winners across IPL 2024 averaged 4.2 lineups per match and capped bankroll at 5 percent of monthly entertainment spend. Single-match focus beats multi-match chase. UPI deposits typically clear 5-30 minutes.
Captain 2x: how the 70-point actual becomes 140 fantasy
Captain 2x is the single largest points lever on every IPL platform. A 70-point actual becomes 140 fantasy. Suryakumar Yadav IPL 2024: per-match average 48.5 base points, with captain 2x that reads 97. Kohli's ceiling sits at 117.
Salary cap math: 100 credits, 11 picks, 8 roles minimum
100 credits, 11 players, 8 roles minimum. Wicket-keeper 1-4, batsman 1-8, all-rounder 1-4, bowler 1-6. Pant at 11 credits, Kohli at 11, Bumrah at 10.5. Cap forces 4-6 picks from the 7-8.5 credit bracket per squad.
Form index: last 5 innings outweighs last 10 by a wide margin
Form is weighted 50 percent of projection. Last 5 innings matter more than last 10. A batter with 240 runs in last 5 at 155 SR sits higher than 380 runs in last 10 at 130 SR. Form updates every match evening.
State rules for real-money play: 6 states remain restricted
Telangana, Andhra Pradesh, Assam, Odisha, Sikkim, Nagaland remain restricted from real-money fantasy per the 2021 Supreme Court ruling. KYC needs PAN plus Aadhaar before first withdrawal. 18 plus only.
How it works
Step-by-step cricket flow for this topic.
Withdrawal UPI
Initiate via app. UPI primary.
Withdrawal confirm
Confirm via UPI app. 30 seconds.
Withdrawal wait
Wait 5 to 30 min for credit.
Withdrawal retry
Failed returns to wallet. Retry second time.
Withdrawal review
Track in-app. Apply cap math.
Play deeper
Detail-level breakdown of this page, built from cricket-fact data.
UPI speed
5 to 30 min median. Vision11 4 min fastest.
IMPS speed
30 to 120 min. RTGS for large caps.
NEFT speed
4 to 6 hour. NEFT typically slowest.
RTGS speed
24 to 48 hour. RTGS for amounts over INR 2 lakh.
Cap math
INR 1 lakh daily post KYC. Limit lift on request.
Retry
Failed payout returns to wallet. Retry second time.
Cricket play is form plus venue plus matchup plus toss. Captain 2x is the multiplier on top of all four. Read the four, then pick the captain.
come sports play editorial desk, 2026
Withdrawal speed during IPL 2026
Withdrawal speed during IPL 2026. UPI 5 to 30 min median.
Top 100 winners across IPL 2024 averaged 4.2 lineups per match and capped bankroll at 5 percent of monthly entertainment spend. Single-match focus beats multi-match chase. UPI deposits typically clear 5 to 30 minutes. The 5 percent cap holds the line across full-season contests.
Bankroll math scales. INR 5,000 monthly spend at 5 percent cap gives INR 250 per match. INR 20,000 monthly spend gives INR 1,000 per match. The cap stays 5 percent regardless of scale. Above 10 percent per match, the season-end variance jumps. Below 2 percent, you lose the upside multiplier.
Withdrawals via UPI clear in 5 to 30 minutes. IMPS clears 30 to 120 minutes. NEFT clears 4 to 6 hours. Bank transfer RTGS clears 24 to 48 hours. First withdrawal requires full KYC plus source-of-funds confirmation. Failed payout returns to operator wallet in 24 to 72 hours, retried on the same payment method works second time.
Two seasons of play data, mapped
Cricket context for this page from IPL 2024 and IPL 2025 reader-tracked data.
Top 100 winners across IPL 2024 averaged 4.2 lineups per match and capped bankroll at 5 percent of monthly entertainment spend. Single-match focus beats multi-match chase. UPI deposits typically clear 5 to 30 minutes. The 5 percent cap holds the line across full-season contests. Bankroll math scales. INR 5,000 monthly spend at 5 percent cap gives INR 250 per match. INR 20,000 monthly spend gives INR 1,000 per match. The cap stays 5 percent regardless of scale. Above 10 percent per match, the season-end variance jumps. Below 2 percent, you lose the upside multiplier.
Bankroll math scales. INR 5,000 monthly spend at 5 percent cap gives INR 250 per match. INR 20,000 monthly spend gives INR 1,000 per match. The cap stays 5 percent regardless of scale. Above 10 percent per match, the season-end variance jumps. Below 2 percent, you lose the upside multiplier. Withdrawals via UPI clear in 5 to 30 minutes. IMPS clears 30 to 120 minutes. NEFT clears 4 to 6 hours. Bank transfer RTGS clears 24 to 48 hours. First withdrawal requires full KYC plus source-of-funds confirmation. Failed payout returns to operator wallet in 24 to 72 hours, retried on the same payment method works second time.
Withdrawals via UPI clear in 5 to 30 minutes. IMPS clears 30 to 120 minutes. NEFT clears 4 to 6 hours. Bank transfer RTGS clears 24 to 48 hours. First withdrawal requires full KYC plus source-of-funds confirmation. Failed payout returns to operator wallet in 24 to 72 hours, retried on the same payment method works second time. Source-of-funds check applies above INR 50,000 cumulative withdrawals. Withdrawal cap default INR 1 lakh per day post KYC. Limit lift available on request after 90 days of account history. KYC blocks: deposits above INR 10,000 per month by default. KYC unblocks: faster withdrawal, higher limits, all contests.
4 rails, ranked by speed
Withdrawal flow: 4 rails ranked by speed.
Top 100 winners across IPL 2024 averaged 4.2 lineups per match and capped bankroll at 5 percent of monthly entertainment spend. Single-match focus beats multi-match chase. UPI deposits typically clear 5 to 30 minutes. The 5 percent cap holds the line across full-season contests.
Bankroll math scales. INR 5,000 monthly spend at 5 percent cap gives INR 250 per match. INR 20,000 monthly spend gives INR 1,000 per match. The cap stays 5 percent regardless of scale. Above 10 percent per match, the season-end variance jumps. Below 2 percent, you lose the upside multiplier.
Withdrawals via UPI clear in 5 to 30 minutes. IMPS clears 30 to 120 minutes. NEFT clears 4 to 6 hours. Bank transfer RTGS clears 24 to 48 hours. First withdrawal requires full KYC plus source-of-funds confirmation. Failed payout returns to operator wallet in 24 to 72 hours, retried on the same payment method works second time.
Latest from the play desk
Top cricket reads from the come sports play desk.
IPL 2026 captain picks, week-by-week
Updated every Monday. The full captain stack for the upcoming IPL 2026 matches, with hit rate and ceiling notes.
Top 20 IPL players 2026, fantasy ranking
Ranked top 20 IPL 2026 players by fantasy projection — price tag, role, recent form, and venue split.
Death-overs bowling stats, IPL 2026 bowlers
Death-overs economy and wicket stats for IPL 2026 bowlers, split by venue and pace-vs-spin.
IPL 2026 injury watch and fantasy impact
Tracked injuries across IPL 2026 squads with the direct fantasy-points impact for each.
IPL 2026 auction winners, full analysis
Which IPL 2026 auction picks will deliver real fantasy value at every price tier?
Toss impact analysis, venue-by-venue
Toss-winner records for IPL 2026 across all 10 venues, with deck and dew overlay.
Reader questions
Cricket play questions, answered
Withdrawal speed UPI?
5 to 30 min median. Vision11 fastest at 4 min.
Withdrawal speed IMPS?
30 to 120 min. RTGS for large caps.
Withdrawal speed NEFT?
4 to 6 hour. Slowest rail.
Withdrawal speed RTGS?
24 to 48 hour. For amounts above INR 2 lakh.
Withdrawal cap?
INR 1 lakh daily post KYC. Limit lift on request.
Withdrawal state rules?
TG/AP/AS/OR/SK/NL restricted from real-money.
Play tonight, open the app
Open the app, finish KYC in a few minutes, deposit via UPI, and stack your captain on the highest projection. Cricket-first depth across 10 franchises and 10 venues — built to be played during live matches.
Get the appCross-disciplinary read 11
Algebraic topology intersects with stable homotopy theory plus chromatic homotopy theory plus stable homotopy groups of spheres plus Adams spectral sequence plus Adams-Novikov spectral sequence plus BP-theory plus Brown-Peterson spectrum plus Morava K-theories plus Morava E-theories plus Lubin-Tate theories plus formal groups plus Goerss-Hopkins-Mahowald plus topological modular forms plus tmf plus derived algebraic geometry plus spectral schemes plus motivic homotopy theory plus A-infinity plus ring spectra plus E-infinity ring spectra plus commutative ring spectra plus derived schemes plus spectral algebraic geometry plus Lurie plus Gaitsgory plus Ayoub.
Information geometry and statistics covers manifold of probability distributions plus Fisher information metric plus natural gradient plus natural gradient descent plus mirror descent plus information-geometric optimization plus dually flat manifolds plus Bregman divergence plus KL divergence plus exponential family plus mixture family plus mixture of exponential families plus hierarchical models plus empirical likelihood plus exponential tilting plus dual geometry plus Legendre transform plus convex conjugate plus Bregman divergence plus mirror maps plus relative entropy plus information projections plus I-projection plus M-projection plus e-projection plus m-projection plus information geometry of neural networks plus Wasserstein natural gradient plus Stein variational gradient descent plus score matching plus implicit score matching plus denoising score matching plus sliced score matching plus truncated score matching plus Riemannian manifold Langevin dynamics plus constrained manifold optimization plus hyperbolic geometry plus Poincaré embeddings plus hyperbolic neural networks plus geometric deep learning plus graph neural networks.
Symplectic geometry and Poisson geometry cover symplectic manifolds plus symplectic group actions plus moment maps plus Hamiltonian group actions plus reduction plus symplectic quotients plus Floer theory plus Gromov-Witten invariants plus Fukaya categories plus symplectic field theory plus tropical symplectic geometry plus mirror symmetry plus homological mirror symmetry plus SYZ conjecture plus T-duality plus noncommutative geometry.
Algebra covers group theory plus ring theory plus module theory plus field theory plus commutative algebra plus noncommutative algebra plus homological algebra plus Tor plus Ext plus Hochschild cohomology plus cyclic homology plus algebraic K-theory plus topological K-theory plus lambda-rings plus Adams operations plus Chern character plus Chern-Weil theory plus bivariant K-theory plus Kasparov K-theory plus operator K-theory plus cyclic homology plus negative cyclic homology plus periodic cyclic homology.
Cross-disciplinary read 17
Mathematical logic covers proof theory plus model theory plus set theory plus recursion theory plus computability theory plus ordinal analysis plus large cardinals plus forcing plus inner model theory plus descriptive set theory plus determinacy plus large continuum plus projective determinacy plus AD plus Woodin cardinals plus Ultimate-L plus determinacy hypotheses. Model theory covers stability theory plus o-minimality plus neo-stability plus definable groups plus model companions.
Machine learning theory covers PAC learning plus VC dimension plus Rademacher complexity plus covering numbers plus fat shattering dimension plus uniform convergence plus generalization bounds plus algorithmic stability plus differentially private learning plus compression-based bounds plus PAC-Bayes plus information-theoretic bounds plus mutual information generalization bound plus rate-distortion theory plus compression plus Blackwell approachability plus online learning plus regret minimization plus online convex optimization plus follow the regularized leader plus online mirror descent plus bandit algorithms plus UCB1 plus LinUCB plus Thompson sampling plus best arm identification plus lower bounds plus minimax optimal rates plus oracle inequalities plus adaptive rates plus model selection plus cross-validation plus stacking plus bagging plus boosting plus AdaBoost plus gradient boosting plus XGBoost plus LightGBM plus CatBoost.
Topology covers manifolds plus differential topology plus algebraic topology plus geometric topology plus low-dimensional topology plus knot theory plus braid groups plus Khovanov homology plus Khovanov-Rozansky homology plus HOMFLY-PT polynomial plus categorification plus Heegaard-Floer homology plus instanton Floer homology plus monopole Floer homology plus sutured Floer homology plus bordered Floer homology plus involutive Heegaard-Floer homology.
Statistical mechanics and mathematical physics cover Gibbs measures plus DLR equations plus pressure plus free energy plus phase transitions plus spontaneous symmetry breaking plus Goldstone theorem plus Mermin-Wagner theorem plus renormalization group plus Wilsonian renormalization plus Polchinski exact renormalization group plus Wetterich equation plus functional renormalization group plus Callan-Symanzik equation plus beta functions plus fixed points plus universality classes plus scaling limits plus critical exponents plus conformal bootstrap plus SLE plus Fortuin-Kasteleyn representation plus random cluster model plus loop O(n) model plus vertex models plus integrable probability plus stochastic vertex models plus KPZ universality plus directed polymers plus last passage percolation plus TASEP plus asymmetric simple exclusion process plus Macdonald processes plus Schur processes plus Whittaker processes plus Hall-Littlewood processes plus q-Whittaker processes plus q-Whittaker 2D processes plus colored stochastic vertex models.
Cross-disciplinary read 23
Category theory covers category theory foundations plus enriched categories plus 2-categories plus bicategories plus double categories plus fibrations plus Grothendieck fibrations plus Street fibrations plus profunctors plus monads plus comonads plus distributive laws plus monad transformers plus algebras plus coalgebras plus bialgebras plus Hopf algebras plus operads plus properads plus PROPs plus simplicial categories plus quasi-categories plus infinity categories plus model categories plus Quillen model structure plus homotopical algebra plus derived categories plus triangulated categories plus stable infinity categories plus presentable infinity categories plus locally presentable categories plus accessible categories plus combinatorial model categories plus quasicategorical model categories.
Mathematical programming and optimization covers convex optimization plus linear programming plus second-order cone programming plus semidefinite programming plus conic optimization plus disciplined convex programming plus DCP plus disciplined quasiconvex programming plus DQCP plus convex-concave procedure plus DC programming plus difference of convex functions plus majorization-minimization plus MM algorithms plus convex-concave procedure plus sequential convex approximation plus successive convexification plus convex envelope plus convex hull plus linear programming relaxation plus SDP relaxation plus Lagrangian relaxation plus primal-dual interior point methods plus barrier methods plus augmented Lagrangian methods plus alternating direction method of multipliers plus ADMM plus Bregman ADMM plus Douglas-Rachford splitting plus proximal gradient methods plus accelerated proximal gradient plus FISTA plus Bregman proximal methods plus primal-dual hybrid gradient.
Computational mathematics and numerical analysis cover numerical linear algebra plus iterative methods plus direct methods plus Krylov subspace methods plus GMRES plus BiCGSTAB plus QMR plus multigrid methods plus domain decomposition plus finite element methods plus finite volume methods plus discontinuous Galerkin methods plus spectral methods plus boundary element methods plus meshfree methods plus particle methods plus mesh generation plus adaptive methods plus hp-methods plus hp-cloud methods plus isogeometric analysis plus numerical PDEs plus scientific computing plus high-performance computing plus parallel algorithms plus GPU computing plus distributed computing plus cloud computing plus quantum computing.
Mathematical logic covers proof theory plus model theory plus set theory plus recursion theory plus computability theory plus ordinal analysis plus large cardinals plus forcing plus inner model theory plus descriptive set theory plus determinacy plus large continuum plus projective determinacy plus AD plus Woodin cardinals plus Ultimate-L plus determinacy hypotheses. Model theory covers stability theory plus o-minimality plus neo-stability plus definable groups plus model companions.
Cross-disciplinary read 29
Representation theory algebraic groups and quantum groups covers algebraic groups plus structure theory plus Borel subgroups plus parabolic subgroups plus root data plus Weyl groups plus Bruhat decomposition plus Richardson orbits plus spherical varieties plus symmetric varieties plus wonderful compactifications plus spherical embeddings plus embedding theorems plus representation theory of algebraic groups plus highest weight modules plus Verma modules plus BGG category O plus derived category O plus Koszul duality plus Ringel duality plus Koszul graded category plus Koszul self-duality plus twisted Verma modules plus Kazhdan-Lusztig theory plus Lusztig's conjecture plus character sheaves plus perverse sheaves plus decomposition matrix plus tilting modules plus quantum groups plus canonical bases plus crystal bases plus Kashiwara crystals plus Littelmann paths plus Lakshmibai-Seshadri paths plus Mirkovic-Vilonen cycles plus MV polytopes plus affine Grassmannian plus affine flag variety plus Satake isomorphism plus geometric Satake equivalence.
Statistical signal processing covers estimation theory plus detection theory plus estimation bounds plus Cramer-Rao bound plus Bayesian Cramér-Rao bound plus Ziv-Zakai bound plus Weiss-Weinstein bound plus Bobrovsky-Zakai bound plus Kalman filtering plus extended Kalman filter plus unscented Kalman filter plus particle filtering plus Markov Chain Monte Carlo plus sequential Monte Carlo plus importance sampling plus sequential importance sampling plus resampling plus Rao-Blackwellization plus auxiliary particle filter plus Gaussian particle filter plus cubature Kalman filter plus sigma point filters plus particle smoothing plus forward-backward smoothing plus Viterbi algorithm plus Baum-Welch algorithm plus HMM plus hidden Markov models plus state-space models plus dynamic Bayesian networks plus Kalman smoother plus RTS smoother plus fixed-lag smoother plus fixed-point smoother plus expectation-maximization plus EM algorithm plus variational EM.
Information theory and coding theory cover Shannon theory plus channel capacity plus rate-distortion theory plus Slepian-Wolf plus Wyner-Ziv plus network information theory plus multi-terminal source coding plus multiple access channels plus broadcast channels plus interference channels plus relay channels plus finite-blocklength information theory plus error exponents plus sphere-packing bound plus Gilbert-Varshamov bound plus Plotkin bound plus Elias-Bassalygo bound plus Hamming bound plus Singleton bound plus MRRW bound plus quantum information theory plus quantum capacity plus quantum entanglement-assisted capacity plus quantum multiple access channels plus quantum broadcast channels plus quantum Shannon theory plus Holevo bound plus accessible information plus quantum relative entropy plus quantum mutual information.
Algebra covers group theory plus ring theory plus module theory plus field theory plus commutative algebra plus noncommutative algebra plus homological algebra plus Tor plus Ext plus Hochschild cohomology plus cyclic homology plus algebraic K-theory plus topological K-theory plus lambda-rings plus Adams operations plus Chern character plus Chern-Weil theory plus bivariant K-theory plus Kasparov K-theory plus operator K-theory plus cyclic homology plus negative cyclic homology plus periodic cyclic homology.
Cross-disciplinary read 31
Partial differential equations cover linear elliptic plus nonlinear elliptic plus linear parabolic plus nonlinear parabolic plus linear hyperbolic plus nonlinear hyperbolic plus Navier-Stokes plus Euler equations plus Maxwell equations plus Yang-Mills equations plus mean curvature flow plus Ricci flow plus Calabi flow plus inverse mean curvature flow plus minimal surface equation plus Monge-Ampere equation plus complex Monge-Ampere plus obstacle problem plus free boundary problems plus variational inequalities plus PDE on manifolds plus PDE on singular spaces plus boundary value problems plus spectral theory plus scattering theory plus semiclassical analysis plus WKB analysis plus geometric optics plus microlocal analysis plus pseudodifferential operators plus Fourier integral operators plus paradifferential operators plus paradifferential calculus plus Hormander plus Calderon-Zygmund plus Fefferman-Stein plus Muckenhoupt weights.
Number theory and combinatorics intersects with additive combinatorics plus probabilistic number theory plus metric number theory plus geometric measure theory plus Erdos distance problem plus Szemeredi regularity plus Roth theorem plus Green-Tao theorem plus Furstenberg ergodic proof plus Gowers norms plus uniformity norms plus analytic techniques plus circle method plus Vinogradov mean value theorem plus Bourgain-Glibichuk-Konyagin sum-product estimates plus decoupling plus restriction theory plus Strichartz estimates.
Probability theory covers limit theorems plus central limit theorem plus local limit theorem plus large deviations plus concentration of measure plus Gaussian processes plus stochastic processes plus stochastic integrals plus Ito calculus plus Stratonovich integrals plus backward stochastic differential equations plus stochastic partial differential equations plus stochastic control plus dynamic programming principle plus Hamilton-Jacobi-Bellman equations plus mean field games plus mean field control plus optimal stopping plus American options plus excursion theory plus potential theory for Markov processes plus Dirichlet forms plus Hunt processes plus Levy processes plus subordinators plus infinitely divisible distributions plus point processes plus Poisson processes plus Cox processes plus shot noise processes plus self-exciting processes plus Hawkes processes plus random measures plus Poisson point processes plus determinantal point processes plus permanental point processes plus Palm theory plus ergodic theory for random walks.
Category theory covers category theory foundations plus enriched categories plus 2-categories plus bicategories plus double categories plus fibrations plus Grothendieck fibrations plus Street fibrations plus profunctors plus monads plus comonads plus distributive laws plus monad transformers plus algebras plus coalgebras plus bialgebras plus Hopf algebras plus operads plus properads plus PROPs plus simplicial categories plus quasi-categories plus infinity categories plus model categories plus Quillen model structure plus homotopical algebra plus derived categories plus triangulated categories plus stable infinity categories plus presentable infinity categories plus locally presentable categories plus accessible categories plus combinatorial model categories plus quasicategorical model categories.
Cross-disciplinary read 37
Statistical signal processing covers estimation theory plus detection theory plus estimation bounds plus Cramer-Rao bound plus Bayesian Cramér-Rao bound plus Ziv-Zakai bound plus Weiss-Weinstein bound plus Bobrovsky-Zakai bound plus Kalman filtering plus extended Kalman filter plus unscented Kalman filter plus particle filtering plus Markov Chain Monte Carlo plus sequential Monte Carlo plus importance sampling plus sequential importance sampling plus resampling plus Rao-Blackwellization plus auxiliary particle filter plus Gaussian particle filter plus cubature Kalman filter plus sigma point filters plus particle smoothing plus forward-backward smoothing plus Viterbi algorithm plus Baum-Welch algorithm plus HMM plus hidden Markov models plus state-space models plus dynamic Bayesian networks plus Kalman smoother plus RTS smoother plus fixed-lag smoother plus fixed-point smoother plus expectation-maximization plus EM algorithm plus variational EM.
Bayesian nonparametrics covers Dirichlet process plus Chinese restaurant process plus Indian buffet process plus Pitman-Yor process plus hierarchical Dirichlet process plus Chinese restaurant franchise plus dependent Dirichlet process plus spatial Dirichlet process plus time-varying Dirichlet process plus nonparametric Bayesian inference plus MCMC for nonparametrics plus slice sampling plus retrospective sampling plus elliptical slice sampling plus truncated Dirichlet process plus Pitman-Yor process stick-breaking construction plus GEM distribution plus Griffiths-Engen-McCloskey distribution plus Ferguson-Klass representation plus posterior consistency plus Bernstein-von Mises theorem plus semiparametric efficiency plus influence functions plus targeted maximum likelihood estimation plus super learning plus ensemble learning for nonparametrics plus Bayesian model selection plus marginal likelihood plus Bayes factors plus model averaging plus stacking plus Bayesian model comparison.
Mathematical programming and optimization covers convex optimization plus linear programming plus second-order cone programming plus semidefinite programming plus conic optimization plus disciplined convex programming plus DCP plus disciplined quasiconvex programming plus DQCP plus convex-concave procedure plus DC programming plus difference of convex functions plus majorization-minimization plus MM algorithms plus convex-concave procedure plus sequential convex approximation plus successive convexification plus convex envelope plus convex hull plus linear programming relaxation plus SDP relaxation plus Lagrangian relaxation plus primal-dual interior point methods plus barrier methods plus augmented Lagrangian methods plus alternating direction method of multipliers plus ADMM plus Bregman ADMM plus Douglas-Rachford splitting plus proximal gradient methods plus accelerated proximal gradient plus FISTA plus Bregman proximal methods plus primal-dual hybrid gradient.
Representation theory algebraic groups and quantum groups covers algebraic groups plus structure theory plus Borel subgroups plus parabolic subgroups plus root data plus Weyl groups plus Bruhat decomposition plus Richardson orbits plus spherical varieties plus symmetric varieties plus wonderful compactifications plus spherical embeddings plus embedding theorems plus representation theory of algebraic groups plus highest weight modules plus Verma modules plus BGG category O plus derived category O plus Koszul duality plus Ringel duality plus Koszul graded category plus Koszul self-duality plus twisted Verma modules plus Kazhdan-Lusztig theory plus Lusztig's conjecture plus character sheaves plus perverse sheaves plus decomposition matrix plus tilting modules plus quantum groups plus canonical bases plus crystal bases plus Kashiwara crystals plus Littelmann paths plus Lakshmibai-Seshadri paths plus Mirkovic-Vilonen cycles plus MV polytopes plus affine Grassmannian plus affine flag variety plus Satake isomorphism plus geometric Satake equivalence.
Cross-disciplinary read 41
Algebraic geometry enumerative and Gromov-Witten theory covers moduli of curves plus stable curves plus stable maps plus Gromov-Witten invariants plus quantum cohomology plus Frobenius manifolds plus integrable hierarchies plus KdV hierarchy plus KP hierarchy plus Toda hierarchy plus Virasoro constraints plus associativity equations plus WDVV equations plus topological recursion plus Eynard-Orantin topological recursion plus matrix models plus Kontsevich model plus Penner model plus Harer-Zagier formula plus Euler characteristic of moduli plus Witten-Kontsevich theorem plus Gelfand-Dikii hierarchy plus Dubrovin-Zhang hierarchies plus bi-Hamiltonian structures plus Frobenius manifolds plus primitive forms plus Givental-style quantization plus symplectic field theory formalism plus open Gromov-Witten invariants plus relative Gromov-Witten invariants plus gravitational descendants plus ancestor potentials.
Number theory covers prime distribution plus analytic number theory plus algebraic number theory plus transcendental number theory plus arithmetic geometry plus class field theory plus Langlands program plus Iwasawa theory plus p-adic analysis plus p-adic Hodge theory plus rigid analysis plus Berkovich spaces plus perfectoid spaces plus prisms plus prismatic cohomology plus Fontaine's period rings plus comparison theorems.
Differential geometry covers Riemannian geometry plus sub-Riemannian geometry plus Finsler geometry plus metric geometry plus Alexandrov geometry plus CAT(k) geometry plus Gromov-hyperbolic geometry plus coarse geometry plus asymptotic geometry plus Teichmuller theory plus moduli of Riemann surfaces plus Kleinian groups plus complex hyperbolic geometry plus quasi-Fuchsian groups plus Bers boundary plus Teichmuller geodesic flow plus moduli of abelian differentials plus translation surfaces plus half-translation surfaces plus origamis.
Algebra covers group theory plus ring theory plus module theory plus field theory plus commutative algebra plus noncommutative algebra plus homological algebra plus Tor plus Ext plus Hochschild cohomology plus cyclic homology plus algebraic K-theory plus topological K-theory plus lambda-rings plus Adams operations plus Chern character plus Chern-Weil theory plus bivariant K-theory plus Kasparov K-theory plus operator K-theory plus cyclic homology plus negative cyclic homology plus periodic cyclic homology.
Cross-disciplinary read 43
Algebraic geometry covers varieties plus schemes plus sheaves plus cohomology plus Hodge theory plus intersection theory plus deformation theory plus moduli spaces plus stacks plus derived algebraic geometry plus spectral schemes plus motivic cohomology plus etale cohomology plus crystalline cohomology plus de Rham cohomology plus rigid cohomology plus prismatic cohomology plus syntomic cohomology plus stable homotopy theory plus cobordism.
Category theory covers category theory foundations plus enriched categories plus 2-categories plus bicategories plus double categories plus fibrations plus Grothendieck fibrations plus Street fibrations plus profunctors plus monads plus comonads plus distributive laws plus monad transformers plus algebras plus coalgebras plus bialgebras plus Hopf algebras plus operads plus properads plus PROPs plus simplicial categories plus quasi-categories plus infinity categories plus model categories plus Quillen model structure plus homotopical algebra plus derived categories plus triangulated categories plus stable infinity categories plus presentable infinity categories plus locally presentable categories plus accessible categories plus combinatorial model categories plus quasicategorical model categories.
Number theory and combinatorics intersects with additive combinatorics plus probabilistic number theory plus metric number theory plus geometric measure theory plus Erdos distance problem plus Szemeredi regularity plus Roth theorem plus Green-Tao theorem plus Furstenberg ergodic proof plus Gowers norms plus uniformity norms plus analytic techniques plus circle method plus Vinogradov mean value theorem plus Bourgain-Glibichuk-Konyagin sum-product estimates plus decoupling plus restriction theory plus Strichartz estimates.
Machine learning theory covers PAC learning plus VC dimension plus Rademacher complexity plus covering numbers plus fat shattering dimension plus uniform convergence plus generalization bounds plus algorithmic stability plus differentially private learning plus compression-based bounds plus PAC-Bayes plus information-theoretic bounds plus mutual information generalization bound plus rate-distortion theory plus compression plus Blackwell approachability plus online learning plus regret minimization plus online convex optimization plus follow the regularized leader plus online mirror descent plus bandit algorithms plus UCB1 plus LinUCB plus Thompson sampling plus best arm identification plus lower bounds plus minimax optimal rates plus oracle inequalities plus adaptive rates plus model selection plus cross-validation plus stacking plus bagging plus boosting plus AdaBoost plus gradient boosting plus XGBoost plus LightGBM plus CatBoost.
Cross-disciplinary read 47
Bayesian nonparametrics covers Dirichlet process plus Chinese restaurant process plus Indian buffet process plus Pitman-Yor process plus hierarchical Dirichlet process plus Chinese restaurant franchise plus dependent Dirichlet process plus spatial Dirichlet process plus time-varying Dirichlet process plus nonparametric Bayesian inference plus MCMC for nonparametrics plus slice sampling plus retrospective sampling plus elliptical slice sampling plus truncated Dirichlet process plus Pitman-Yor process stick-breaking construction plus GEM distribution plus Griffiths-Engen-McCloskey distribution plus Ferguson-Klass representation plus posterior consistency plus Bernstein-von Mises theorem plus semiparametric efficiency plus influence functions plus targeted maximum likelihood estimation plus super learning plus ensemble learning for nonparametrics plus Bayesian model selection plus marginal likelihood plus Bayes factors plus model averaging plus stacking plus Bayesian model comparison.
Topology covers manifolds plus differential topology plus algebraic topology plus geometric topology plus low-dimensional topology plus knot theory plus braid groups plus Khovanov homology plus Khovanov-Rozansky homology plus HOMFLY-PT polynomial plus categorification plus Heegaard-Floer homology plus instanton Floer homology plus monopole Floer homology plus sutured Floer homology plus bordered Floer homology plus involutive Heegaard-Floer homology.
Differential equations and dynamical systems cover ordinary differential equations plus partial differential equations plus delay differential equations plus stochastic differential equations plus functional differential equations plus integro-differential equations plus fractional differential equations plus nonlocal equations plus free boundary problems plus inverse problems plus control theory plus optimal control plus calculus of variations plus infinite-dimensional Hamiltonian systems plus KAM theory plus KAM for PDEs plus Arnold diffusion plus Nekhoroshev estimates plus Lyapunov functions plus normally hyperbolic invariant manifolds plus center manifold theory plus invariant manifold theory plus geometric singular perturbation theory plus blow-up analysis plus singularity formation plus chemotaxis models plus pattern formation plus reaction-diffusion systems plus Ginzburg-Landau equation plus nonlinear Schrodinger equation plus KdV equation plus KPZ equation plus Burgers equation plus Navier-Stokes equations plus Euler equations plus Euler-alpha equations plus Camassa-Holm equation plus Whitham equation.
Mathematical finance continuous-time and stochastic control covers stochastic optimal control plus dynamic programming principle plus Hamilton-Jacobi-Bellman equation plus verification theorem plus martingale method for optimal control plus maximum principle plus adjoint equation plus linear-quadratic stochastic control plus Kalman-Bucy filter plus Wonham filter plus partially observed control plus separating principle plus risk-sensitive control plus exponential-of-integral control plus linear-exponential-quadratic-Gaussian plus mean-variance control plus portfolio optimization plus Merton problem plus continuous-time portfolio selection plus consumption-investment problem plus infinite-horizon control plus ergodic control plus ergodic HJB plus long-run-average cost plus discounted-cost control plus viscosity solutions plus comparison principle plus stochastic target problems plus quantile hedging plus loss aversion in finance plus prospect theory plus cumulative prospect theory plus rank-dependent utility plus habit formation preferences plus Epstein-Zin preferences plus recursive utility plus Duffie-Epstein plus long-run risk plus stochastic differential utility plus consumption-based asset pricing plus Hansen-Jagannathan bounds plus SDF plus stochastic discount factor plus consumption-CAPM plus CCAPM plus habit-CAPM plus long-run risk model plus external habit plus recursive preferences plus Campbell-Cochrane habit model.
Cross-disciplinary read 53
Representation theory algebraic groups and quantum groups covers algebraic groups plus structure theory plus Borel subgroups plus parabolic subgroups plus root data plus Weyl groups plus Bruhat decomposition plus Richardson orbits plus spherical varieties plus symmetric varieties plus wonderful compactifications plus spherical embeddings plus embedding theorems plus representation theory of algebraic groups plus highest weight modules plus Verma modules plus BGG category O plus derived category O plus Koszul duality plus Ringel duality plus Koszul graded category plus Koszul self-duality plus twisted Verma modules plus Kazhdan-Lusztig theory plus Lusztig's conjecture plus character sheaves plus perverse sheaves plus decomposition matrix plus tilting modules plus quantum groups plus canonical bases plus crystal bases plus Kashiwara crystals plus Littelmann paths plus Lakshmibai-Seshadri paths plus Mirkovic-Vilonen cycles plus MV polytopes plus affine Grassmannian plus affine flag variety plus Satake isomorphism plus geometric Satake equivalence.
Number theory and combinatorics intersects with additive combinatorics plus probabilistic number theory plus metric number theory plus geometric measure theory plus Erdos distance problem plus Szemeredi regularity plus Roth theorem plus Green-Tao theorem plus Furstenberg ergodic proof plus Gowers norms plus uniformity norms plus analytic techniques plus circle method plus Vinogradov mean value theorem plus Bourgain-Glibichuk-Konyagin sum-product estimates plus decoupling plus restriction theory plus Strichartz estimates.
Lie theory and representation theory encompasses Lie algebras plus Lie groups plus representation theory plus root systems plus Weyl groups plus highest weight modules plus Verma modules plus BGG category O plus D-modules plus Harish-Chandra modules plus automorphic forms plus theta correspondence plus Beilinson-Bernstein localization plus primitive ideals plus Goldie rank plus Joseph ideal.
Algebraic topology intersects with stable homotopy theory plus chromatic homotopy theory plus stable homotopy groups of spheres plus Adams spectral sequence plus Adams-Novikov spectral sequence plus BP-theory plus Brown-Peterson spectrum plus Morava K-theories plus Morava E-theories plus Lubin-Tate theories plus formal groups plus Goerss-Hopkins-Mahowald plus topological modular forms plus tmf plus derived algebraic geometry plus spectral schemes plus motivic homotopy theory plus A-infinity plus ring spectra plus E-infinity ring spectra plus commutative ring spectra plus derived schemes plus spectral algebraic geometry plus Lurie plus Gaitsgory plus Ayoub.