Faculty

Institution

Unit

Venue

Peter Sarnak

Professor

Princeton University

Affiliations

Natural Sciences.

Department of Mathematics

Peter Sarnak is currently serving as a Mathematics Professor at Princeton University.

Honors

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Experiences

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Education

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Peter Sarnak

Princeton University

Professor

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mathematics applied mathematics pure mathematics number theory mathematical sciences spectral theory mathematical analysis analytic number theory functional analysis geometric analysis mathematical physics geometric topology algebraic geometry topology theoretical analysis physics computer science function spaces mathematical optimization potential theory geometry of numbers algebraic analysis knot theory applied algebra facies analysis boundary value problems general systems numerical mathematics combinatorial theory matrix theory nonlinear hyperbolic problem finite fields hyperbolic equations spectral analysis random matrix modular forms history of mathematics random graphs hecke operators maass forms cusp forms affine sieve nonlinear analysis fractional calculus raman spectroscopy geodesy entropy symmetric functions riemannian manifold residual stress mathematical proof extended theory geometrical accuracy function theory lie theory theoretical mathematics multiprincipal element alloy random matrix theory zeta functions compact isospectral sets landau-siegel zeros fractional parts quantum unique ergodicity kloosterman sums ramanujan duals zeta function plane domains distal flows automorphic spectrum theoretical physics scientific computing matrix analysis stochastic systems extremal set theory algebraic theory finite geometry combinatorics ramanujan graphs

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Universal Lower Bound for Certain Quadratic Integrals of Automorphic L–Functions. Journal of Number Theory (2024)

Laurent ClozelPeter Sarnak

lower boundsautomorphic l-functionsmathematicscertain quadratic integralsnumber theoryuniversal lower bound

Convergence to the Plancherel Measure of Hecke Eigenvalues. Acta Arithmetica (2024)

Peter SarnakNina Zubrilina

plancherel measurelinear algebramathematicsapplied algebrahecke eigenvaluesspectral theoryapplied mathematics

Bounded Cutoff Window for the Non-Backtracking Random Walk on Ramanujan Graphs. COMBINATORICA (2023)

Evita NestoridiPeter Sarnak

combinatoricsgraph theorycombinatorial theorynon-backtracking random walkramanujan graphscutoff window

Commutators in $Sl_2$ and Markoff Surfaces I. New Zealand journal of mathematics (2022)

Amit GhoshChen MeiriPeter Sarnak

analytic number theorynonlinear sciencetheoretical analysispure mathematicsmarkoff surfacesmathematicslie theorytheoretical mathematicsnumerical mathematicsdiscrete mathematicsfacies analysisnumber theoryfunction spacesspectral theoryapplied mathematicsmathematical sciences

Integral Points on Markoff Type Cubic Surfaces. Inventiones mathematicae (2022)

Amit GhoshPeter Sarnak

integral pointsmathematics

An Appreciation of Jean Bourgain’s Work. Bulletin of the American Mathematical Society (2021)

Peter Sarnak

pure mathematicsmathematicsjean bourgainapplied mathematicsmathematical sciences

Gap Sets for the Spectra of Cubic Graphs. Communications of the American Mathematical Society (2021)

Alicia KollárPeter Sarnak

topologygraph theorygap setsmathematics

Remembering Jean Bourgain (1954–2018). Notices of the American Mathematical Society (2021)

Ingrid DaubechiesFreddy DelbaenLarry GuthSvetlana JitomirskayaAlex KontorovichElon LindenstraussVitali MilmanGilles PisierZeev RudnickPeter SarnakWilhelm SchlagGigliola StaffilaniTerence TaoPéter Varjú

memorymathematicsjean bourgainmathematical analysisapplied mathematicsmathematical sciences

Stable Polynomials and Crystalline Measures. Journal of Mathematical Physics (2020)

P. KurasovP. Sarnak

stable polynomialsmathematical physicscrystalline measuresmathematics

Band Engineering for Quantum Simulation in Circuit Qed. Bulletin of the American Physical Society (2019)

Alicia KollarMattias FitzpatrickPeter SarnakAndrew Houck

circuit qedband engineeringquantum mechanicselectrical engineeringquantum simulation

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Peter Sarnak

Professor

Princeton University

Affiliations

Natural Sciences.

Department of Mathematics

Peter Sarnak is currently serving as a Mathematics Professor at Princeton University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Peter Sarnak

Princeton University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Universal Lower Bound for Certain Quadratic Integrals of Automorphic L–Functions. Journal of Number Theory (2024)

Laurent ClozelPeter Sarnak

lower boundsautomorphic l-functionsmathematicscertain quadratic integralsnumber theoryuniversal lower bound

Convergence to the Plancherel Measure of Hecke Eigenvalues. Acta Arithmetica (2024)

Peter SarnakNina Zubrilina

plancherel measurelinear algebramathematicsapplied algebrahecke eigenvaluesspectral theoryapplied mathematics

Bounded Cutoff Window for the Non-Backtracking Random Walk on Ramanujan Graphs. COMBINATORICA (2023)

Evita NestoridiPeter Sarnak

combinatoricsgraph theorycombinatorial theorynon-backtracking random walkramanujan graphscutoff window

Commutators in $Sl_2$ and Markoff Surfaces I. New Zealand journal of mathematics (2022)

Amit GhoshChen MeiriPeter Sarnak

Integral Points on Markoff Type Cubic Surfaces. Inventiones mathematicae (2022)

Amit GhoshPeter Sarnak

integral pointsmathematics

An Appreciation of Jean Bourgain’s Work. Bulletin of the American Mathematical Society (2021)

Peter Sarnak

pure mathematicsmathematicsjean bourgainapplied mathematicsmathematical sciences

Gap Sets for the Spectra of Cubic Graphs. Communications of the American Mathematical Society (2021)

Alicia KollárPeter Sarnak

topologygraph theorygap setsmathematics

Remembering Jean Bourgain (1954–2018). Notices of the American Mathematical Society (2021)

memorymathematicsjean bourgainmathematical analysisapplied mathematicsmathematical sciences

Stable Polynomials and Crystalline Measures. Journal of Mathematical Physics (2020)

P. KurasovP. Sarnak

stable polynomialsmathematical physicscrystalline measuresmathematics

Band Engineering for Quantum Simulation in Circuit Qed. Bulletin of the American Physical Society (2019)

Alicia KollarMattias FitzpatrickPeter SarnakAndrew Houck

circuit qedband engineeringquantum mechanicselectrical engineeringquantum simulation

1
2
3
4
5
16
10 / page

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