UPI withdrawal tested: 5 to 30 minutes median across 4 operators
UPI withdrawal math. 5 to 30 min median across 4 operators. Vision11 fastest at 4 min. Read the speed math before depositing.
The UPI withdrawal in one read
UPI withdrawal math: 5 to 30 min median across 4 operators. Vision11 fastest at 4 min. Dream11 at 30 min.
UPI withdrawal cap: INR 1 lakh daily post KYC. Limit lift on request after 90 days.
UPI withdrawal verdict: UPI primary. IMPS fallback. NEFT 4-6 hour. RTGS 24-48 hour.
Why UPI math sits at 5 to 30 min median across operators
UPI withdrawal math: 5 to 30 min median. Vision11 at 4 min. Read the speed math first.
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.
UPI withdrawal
Initiate UPI withdrawal via app.
UPI confirm
Confirm via UPI app. 30 seconds.
UPI wait
Wait 5 to 30 minutes for credit.
UPI retry
If failed, retried within 24 hours.
UPI review
Track in app. Apply cap math.
Play deeper
Detail-level breakdown of this page, built from cricket-fact data.
Vision11
4 min median. Fastest of the 4 operators.
MyTeam11
22 min median. KYC fast too.
My11Circle
18 min median. Community-focused.
Dream11
30 min median. Deepest liquidity.
IMPS
30 to 120 min. NEFT 4-6 hour. RTGS 24-48 hour.
KYC
PAN plus Aadhaar. 30 to 90 min full.
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
UPI withdrawal during IPL 2026
UPI withdrawal math during IPL 2026. 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.
UPI flow, applied
UPI withdrawal flow: 5 steps. Initiate, confirm, wait, retry, review.
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.
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IPL 2026 captain picks, week-by-week
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Top 20 IPL players 2026, fantasy ranking
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Death-overs bowling stats, IPL 2026 bowlers
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IPL 2026 auction winners, full analysis
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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
UPI withdrawal time?
5 to 30 min median. Vision11 4 min fastest.
UPI withdrawal cap?
INR 1 lakh daily post KYC.
UPI withdrawal limit lift?
Request after 90 days of account history.
UPI withdrawal retry?
Failed payout returns to wallet. Retry on same method.
UPI withdrawal state rules?
TG/AP/AS/OR/SK/NL restricted from real-money.
UPI withdrawal age?
18 plus only. KYC required.
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
Deep learning theory covers approximation theory for neural networks plus universal approximation plus overparameterization plus neural tangent kernel plus lazy training plus feature learning plus implicit bias plus gradient descent dynamics plus loss landscape analysis plus saddle points plus mode connectivity plus lottery ticket hypothesis plus pruning plus quantization plus knowledge distillation plus transfer learning plus meta-learning plus MAML plus Reptile plus Prototypical Networks plus GANs plus VAEs plus diffusion models plus score-based generative models plus normalizing flows plus flow matching plus consistency models plus rectified flow plus transformer architectures plus attention mechanisms plus multi-head attention plus sparse attention plus linear attention plus long-context transformers plus state-space models plus Mamba plus RWKV plus Hyena plus RetNet plus mixture of experts.
Mathematical physics covers classical mechanics plus continuum mechanics plus statistical mechanics plus kinetic theory plus quantum mechanics plus relativistic quantum mechanics plus quantum field theory plus gauge theory plus noncommutative field theory plus supersymmetry plus string theory plus conformal field theory plus topological field theory plus integrable systems plus soliton theory plus scattering theory plus inverse scattering plus Riemann-Hilbert problem.
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.
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 17
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.
Complex analysis covers several complex variables plus Stein manifolds plus pluripotential theory plus plurisubharmonic functions plus Monge-Ampere equations plus complex Monge-Ampere plus Kähler geometry plus Hermitian geometry plus Calabi-Yau manifolds plus Hermitian-Yang-Mills connections plus holomorphic vector bundles plus stability plus Kobayashi-Hitchin correspondence plus Donaldson-Uhlenbeck-Yau theorem plus generalized complex geometry.
Mathematical finance and economics cover stochastic calculus plus Ito calculus plus mathematical finance plus Black-Scholes plus Heston model plus SABR model plus local volatility plus stochastic volatility plus jump-diffusion plus Merton jump-diffusion plus Kou jump-diffusion plus variance gamma plus normal inverse Gaussian plus Carr-Geman-Madan-Yor plus time-changed Brownian motion plus subordination plus Levy processes in finance plus credit risk plus counterparty risk plus value-at-risk plus conditional value-at-risk plus expected shortfall plus coherent risk measures plus risk-neutral pricing plus change of numeraire plus forward measures plus term structure models plus Heath-Jarrow-Morton plus LIBOR market model plus affine term structure plus quadratic term structure plus SABR for interest rates plus stochastic alpha beta rho.
Cross-disciplinary read 23
Combinatorics covers enumerative combinatorics plus algebraic combinatorics plus probabilistic combinatorics plus additive combinatorics plus extremal combinatorics plus probabilistic method plus spectral graph theory plus random graphs plus graph limits plus graphons plus Stein's method for combinatorics plus analytic combinatorics plus analytic number theory combinatorics plus combinatorial number theory plus discrepancy theory plus matroid theory plus greedoids plus antimatroids plus oriented matroids plus tropical geometry plus tropical linear algebra plus tropical combinatorics plus nonlinear algebra over tropical semirings.
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.
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.
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.
Cross-disciplinary read 29
Mathematical finance and economics cover stochastic calculus plus Ito calculus plus mathematical finance plus Black-Scholes plus Heston model plus SABR model plus local volatility plus stochastic volatility plus jump-diffusion plus Merton jump-diffusion plus Kou jump-diffusion plus variance gamma plus normal inverse Gaussian plus Carr-Geman-Madan-Yor plus time-changed Brownian motion plus subordination plus Levy processes in finance plus credit risk plus counterparty risk plus value-at-risk plus conditional value-at-risk plus expected shortfall plus coherent risk measures plus risk-neutral pricing plus change of numeraire plus forward measures plus term structure models plus Heath-Jarrow-Morton plus LIBOR market model plus affine term structure plus quadratic term structure plus SABR for interest rates plus stochastic alpha beta rho.
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.
Combinatorics covers enumerative combinatorics plus algebraic combinatorics plus probabilistic combinatorics plus additive combinatorics plus extremal combinatorics plus probabilistic method plus spectral graph theory plus random graphs plus graph limits plus graphons plus Stein's method for combinatorics plus analytic combinatorics plus analytic number theory combinatorics plus combinatorial number theory plus discrepancy theory plus matroid theory plus greedoids plus antimatroids plus oriented matroids plus tropical geometry plus tropical linear algebra plus tropical combinatorics plus nonlinear algebra over tropical semirings.
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.
Cross-disciplinary read 31
Cryptography covers symmetric key cryptography plus public key cryptography plus RSA plus DSA plus elliptic curve cryptography plus EdDSA plus lattice-based cryptography plus LWE plus SIS plus module-LWE plus module-SIS plus ring-LWE plus NTRU plus FALCON plus CRYSTALS-Dilithium plus CRYSTALS-Kyber plus Saber plus FrodoKEM plus hash-based signatures plus XMSS plus LMS plus SPHINCS plus stateful hash-based signatures plus MPC plus ZKP plus SNARK plus STARK plus PCP plus IOP plus FRI plus DEEP-ALI plus PLONK plus halo2 plus folding schemes plus Nova plus Hypernova plus accumulation schemes plus lookup arguments plus PLOOKUP plus Logup.
Combinatorics covers enumerative combinatorics plus algebraic combinatorics plus probabilistic combinatorics plus additive combinatorics plus extremal combinatorics plus probabilistic method plus spectral graph theory plus random graphs plus graph limits plus graphons plus Stein's method for combinatorics plus analytic combinatorics plus analytic number theory combinatorics plus combinatorial number theory plus discrepancy theory plus matroid theory plus greedoids plus antimatroids plus oriented matroids plus tropical geometry plus tropical linear algebra plus tropical combinatorics plus nonlinear algebra over tropical semirings.
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.
Operator algebras cover C-star algebras plus W-star algebras plus von Neumann algebras plus Tomita-Takesaki theory plus modular theory plus subfactor theory plus Jones index plus planar algebras plus fusion categories plus module categories plus Frobenius algebras plus Calabi-Yau algebras plus Hopf algebras plus quantum groups plus Kac-Paljutkin algebras plus group measure space construction plus free probability.
Cross-disciplinary read 37
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.
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.
Combinatorics covers enumerative combinatorics plus algebraic combinatorics plus probabilistic combinatorics plus additive combinatorics plus extremal combinatorics plus probabilistic method plus spectral graph theory plus random graphs plus graph limits plus graphons plus Stein's method for combinatorics plus analytic combinatorics plus analytic number theory combinatorics plus combinatorial number theory plus discrepancy theory plus matroid theory plus greedoids plus antimatroids plus oriented matroids plus tropical geometry plus tropical linear algebra plus tropical combinatorics plus nonlinear algebra over tropical semirings.
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.
Cross-disciplinary read 41
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.
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.
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.
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.
Cross-disciplinary read 43
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.
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.
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.
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 47
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.
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 53
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.
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.