Faculty

Institution

Unit

Venue

Jesse Thorner

Assistant Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Jesse Thorner is currently serving as a College Of Liberal Arts & Sciences Assistant Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Jesse Thorner

University of Illinois Urbana-Champaign

Assistant Professor

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mathematics number theory analytic number theory mathematical sciences algebraic number theory applied mathematics modular forms asymptotic analysis automorphic forms mathematical analysis spectral theory diophantine analysis complex analysis pure mathematics asymptotic formula discrete mathematics group theory combinatorial theory computational number theory mock theta functions theta functions riemann-hilbert problem sato-tate conjecture generalized ramanujan conjecture math xmlns automorphic representations fractional calculus complex function theory real algebraic geometry potential theory galois extension hoheisel phenomenon explicit sato-tate conjecture computer science discrete algorithms high energy physics mathematical optimization algebraic analysis unified field theory function theory lower bounds geometry of numbers generalized functions coxeter group ordered group nilpotent groups elliptic equations elliptic function bounded gaps distinct primes ramanujan hypothesis weak subconvexity smooth cutoff ramanujan tau function explicit bound least prime ideal least norm

Notable Scholarly Works

Notable Federal Grants

Collaborators

A New Zero-Free Region for Rankin–Selberg 𝐿-Functions. Journal für die reine und angewandte Mathematik (Crelles Journal) (2025)

Gergely HarcosJesse Thorner

cuspidal automorphic representationnew zero-free regionhigh energy physicsmathematical sciencesautomorphic formsanalytic number theorymodular formsalgebraic number theorynumber theoryapplied mathematicscuspidal automorphic representationsrepresentation theorymathematics

Highly Uniform Prime Number Theorems. Annales de l’institut Fourier (2025)

Ikuya KanekoJesse Thorner

analytic conductor uniformityprime number theoremmathematical optimizationmathematical sciencesanalytic number theoryalgebraic number theorynumber theorymath xmlnsasymptotic analysisapplied mathematicscomputational number theorymathematics

New Variants of Arithmetic Quantum Ergodicity. Communications in Mathematical Physics (2025)

Peter HumphriesJesse Thorner

mathematical sciencesarithmetic quantum ergodicityhecke-maass cusp formsautomorphic formsanalytic number theoryquantum mechanicsergodic theorymodular formsalgebraic number theorymathematical physicsnumber theoryspectral theoryapplied mathematicsnew variantsmathematics

An Explicit Version of Bombieri’s Log-Free Density Estimate and SáRköZy’s Theorem for Shifted Primes. Forum Mathematicum (2024)

Jesse ThornerAsif Zaman

density estimateanalytic number theoryasymptotic formulaexplicit versionalgebraic number theorynumber theoryasymptotic analysisapplied mathematicsshifted primesmathematics

Bounds for Moments of $$\Ell $$-Torsion in Class Groups. Mathematische Annalen (2024)

Peter KoymansJesse Thorner

class groupsmathematical sciencescoxeter groupordered groupalgebraic number theorynilpotent groupsasymptotic analysisgroup theorymathematicsgeometric group theory

Refinements to the Prime Number Theorem for Arithmetic Progressions. Mathematische Zeitschrift (2024)

Jesse ThornerAsif Zaman

prime number theoremanalytic number theorydiophantine analysisnumber theorymathematics

Remarks on Landau-Siegel Zeros. arXiv (Cornell University) (2024)

Basak, DebmalyaThorner, JesseZaharescu, Alexandru

real zerosanalytic number theorylandau-siegel zerosnumber theoryasymptotic analysiscertain familiesmathematicsreal algebraic geometry

Zeros of $L$-Functions and Large Partial Sums of Dirichlet Coefficients. arXiv (Cornell University) (2024)

Kerr, BryceKlurman, OleksiyThorner, Jesse

low-lying zerosanalytic number theorygeneralized ramanujan conjecturealgebraic number theorynumber theoryasymptotic analysisapplied mathematicsmock theta functionslarge partial sumsmathematics

Zeros of $L$-Functions in Families Near the Critical Line. arXiv (Cornell University) (2024)

Blomer, ValentinThorner, Jesse

automorphic representationsmathematical sciencesdensity estimateautomorphic formsmodular formsanalytic number theoryrelative trace formulaalgebraic number theorycomplex analysisnumber theoryspectral theoryapplied mathematicsrepresentation theorymathematics

Zeros of Rankin–Selberg L -Functions in Families. Compositio Mathematica (2024)

Peter HumphriesJesse Thorner

representation theoryeffective multiplicity onemathematical analysisfunctional analysismathematical scienceshybrid-aspect subconvexity boundautomorphic formsmodular formsanalytic number theorydensity estimatealgebraic number theorynumber theoryasymptotic analysisapplied mathematicsspectral theorymathematics

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Jesse Thorner

Assistant Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Jesse Thorner is currently serving as a College Of Liberal Arts & Sciences Assistant Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Jesse Thorner

University of Illinois Urbana-Champaign

Assistant Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A New Zero-Free Region for Rankin–Selberg 𝐿-Functions. Journal für die reine und angewandte Mathematik (Crelles Journal) (2025)

Gergely HarcosJesse Thorner

Highly Uniform Prime Number Theorems. Annales de l’institut Fourier (2025)

Ikuya KanekoJesse Thorner

New Variants of Arithmetic Quantum Ergodicity. Communications in Mathematical Physics (2025)

Peter HumphriesJesse Thorner

An Explicit Version of Bombieri’s Log-Free Density Estimate and SáRköZy’s Theorem for Shifted Primes. Forum Mathematicum (2024)

Jesse ThornerAsif Zaman

density estimateanalytic number theoryasymptotic formulaexplicit versionalgebraic number theorynumber theoryasymptotic analysisapplied mathematicsshifted primesmathematics

Bounds for Moments of $$\Ell $$-Torsion in Class Groups. Mathematische Annalen (2024)

Peter KoymansJesse Thorner

class groupsmathematical sciencescoxeter groupordered groupalgebraic number theorynilpotent groupsasymptotic analysisgroup theorymathematicsgeometric group theory

Refinements to the Prime Number Theorem for Arithmetic Progressions. Mathematische Zeitschrift (2024)

Jesse ThornerAsif Zaman

prime number theoremanalytic number theorydiophantine analysisnumber theorymathematics

Remarks on Landau-Siegel Zeros. arXiv (Cornell University) (2024)

Basak, DebmalyaThorner, JesseZaharescu, Alexandru

real zerosanalytic number theorylandau-siegel zerosnumber theoryasymptotic analysiscertain familiesmathematicsreal algebraic geometry

Zeros of $L$-Functions and Large Partial Sums of Dirichlet Coefficients. arXiv (Cornell University) (2024)

Kerr, BryceKlurman, OleksiyThorner, Jesse

low-lying zerosanalytic number theorygeneralized ramanujan conjecturealgebraic number theorynumber theoryasymptotic analysisapplied mathematicsmock theta functionslarge partial sumsmathematics

Zeros of $L$-Functions in Families Near the Critical Line. arXiv (Cornell University) (2024)

Blomer, ValentinThorner, Jesse

Zeros of Rankin–Selberg L -Functions in Families. Compositio Mathematica (2024)

Peter HumphriesJesse Thorner

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