Faculty

Institution

Unit

Venue

Scott Ahlgren

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

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

Honors

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Experiences

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Education

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Scott Ahlgren

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

number theory mathematics algebraic number theory mathematical sciences analytic number theory modular forms applied mathematics algebraic geometry combinatorial theory theta functions mock theta functions modulus problem combinatorics pure mathematics mock modular forms automorphic forms partition function algebra diophantine analysis mathematical analysis partition (database) analytic combinatorics cusp forms ordinary partition function annotation encoding= discrete mathematics geometric topology spectral theory theoretical physics enumerative combinatorics algebraic analysis geometry of numbers computational number theory gaussian hypergeometric series singular moduli cusp form polyharmonic maass form hecke algebra physics function spaces difference equations numerical algorithms high energy physics polyhedron symbolic method (combinatorics) complex geometry combinatorial methods interpolation spaces finite fields supermanifold asymptotic formula recursive function gravitational physics unified field theory residue system computer algebra real algebraic geometry apery numbers generalized apery numbers arithmetic properties congruence properties ramanujan-type congruence composite integers certain calabi-yau threefold

Notable Scholarly Works

Notable Federal Grants

Collaborators

Eisenstein Series Modulo P 2. Forum Mathematicum (2025)

Scott AhlgrenMichael HansonMartin RaumOlav K. Richter

modulus problemmathematical scienceseisenstein seriesalgebraautomorphic formsmodular formsalgebraic number theorynumber theorymath xmlnssuch eisenstein seriesmathematics

Eisenstein Series Modulo P^2. Forum Mathematicum (2025)

Scott Ahlgren

algebraic number theorynumber theorymodular formsanalytic number theory

The Shimura Lift and Congruences for Modular Forms With the Eta Multiplier. Advances in Mathematics (2024)

Scott AhlgrenNickolas AndersenRobert Dicks

modulus problemeta multipliermock modular formsmathematical sciencesshimura liftautomorphic formsmodular formsalgebraic number theorynumber theoryapplied mathematicsmock theta functionsalgebraic geometrymathematicspure mathematics

Scarcity of Congruences for the Partition Function. American Journal of Mathematics (2023)

Scott AhlgrenOlivia BeckwithMartin Raum

combinatoricsanalytic number theorymodular formsdiophantine analysisalgebraic number theorynumber theorypartition functiongalois representationsmathematicsarithmetic large sieve

Congruences Like Atkin’s for the Partition Function. Transactions of the American Mathematical Society Series B (2022)

Scott AhlgrenPatrick AllenShiang Tang

ordinary partition functioncombinatoricscomputer algebranumber theorypartition functionapplied mathematicsmathematical logicannotation encoding=mathematicspure mathematics

Dissections of Strange Q-Series. Trends in mathematics (2019)

Scott AhlgrenByungchan KimJeremy Lovejoy

high energy physicsmock theta functionsstrange q-seriesquantum field theorymathematics

Maass Forms and the Mock Theta Function F(Q). Mathematische Annalen (2019)

Scott AhlgrenAlexander Dunn

theoretical physicsmock modular formsmathematical sciencesmock theta functionstheta functionsmaass formsnumber theoryquantum field theorymathematics

A Polyharmonic Maass Form of Depth 3/2 for Sl 2 ( Z ). Journal of Mathematical Analysis and Applications (2018)

Scott AhlgrenNickolas AndersenDetchat Samart

physicspolyhedronunified field theorygravitational physicspolyharmonic maass formparticle physicsgeometrynoncommutative geometrymathematical physicsmath xmlnsdepth 3/2mathematicsgeometric modeling

A Polyharmonic Maass Form of Depth 3/2 for Sl_2(Z). arXiv (Cornell University) (2017)

Scott AhlgrenNickolas AndersenDetchat Samart

mathematical sciencespolyharmonic maass formautomorphic formsmodular formsalgebraic number theoryharmonic maass formspolyharmonic maass formscomplex analysisnumber theoryspectral theoryapplied mathematicsalgebraic geometrymathematics

A Note on Cusp Forms as P-Adic Limits. Journal of Number Theory (2016)

Scott AhlgrenDetchat Samart

mathematical sciencescusp formsautomorphic formsanalytic number theorymodular formsalgebraic number theorynumber theoryspectral theoryapplied mathematicsmathematicsgeometric topology

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Scott Ahlgren

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Scott Ahlgren is currently serving as a College Of Liberal Arts & Sciences 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

Scott Ahlgren

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Eisenstein Series Modulo P 2. Forum Mathematicum (2025)

Scott AhlgrenMichael HansonMartin RaumOlav K. Richter

modulus problemmathematical scienceseisenstein seriesalgebraautomorphic formsmodular formsalgebraic number theorynumber theorymath xmlnssuch eisenstein seriesmathematics

Eisenstein Series Modulo P^2. Forum Mathematicum (2025)

Scott Ahlgren

algebraic number theorynumber theorymodular formsanalytic number theory

The Shimura Lift and Congruences for Modular Forms With the Eta Multiplier. Advances in Mathematics (2024)

Scott AhlgrenNickolas AndersenRobert Dicks

Scarcity of Congruences for the Partition Function. American Journal of Mathematics (2023)

Scott AhlgrenOlivia BeckwithMartin Raum

combinatoricsanalytic number theorymodular formsdiophantine analysisalgebraic number theorynumber theorypartition functiongalois representationsmathematicsarithmetic large sieve

Congruences Like Atkin’s for the Partition Function. Transactions of the American Mathematical Society Series B (2022)

Scott AhlgrenPatrick AllenShiang Tang

ordinary partition functioncombinatoricscomputer algebranumber theorypartition functionapplied mathematicsmathematical logicannotation encoding=mathematicspure mathematics

Dissections of Strange Q-Series. Trends in mathematics (2019)

Scott AhlgrenByungchan KimJeremy Lovejoy

high energy physicsmock theta functionsstrange q-seriesquantum field theorymathematics

Maass Forms and the Mock Theta Function F(Q). Mathematische Annalen (2019)

Scott AhlgrenAlexander Dunn

theoretical physicsmock modular formsmathematical sciencesmock theta functionstheta functionsmaass formsnumber theoryquantum field theorymathematics

A Polyharmonic Maass Form of Depth 3/2 for Sl 2 ( Z ). Journal of Mathematical Analysis and Applications (2018)

Scott AhlgrenNickolas AndersenDetchat Samart

physicspolyhedronunified field theorygravitational physicspolyharmonic maass formparticle physicsgeometrynoncommutative geometrymathematical physicsmath xmlnsdepth 3/2mathematicsgeometric modeling

A Polyharmonic Maass Form of Depth 3/2 for Sl_2(Z). arXiv (Cornell University) (2017)

Scott AhlgrenNickolas AndersenDetchat Samart

A Note on Cusp Forms as P-Adic Limits. Journal of Number Theory (2016)

Scott AhlgrenDetchat Samart

mathematical sciencescusp formsautomorphic formsanalytic number theorymodular formsalgebraic number theorynumber theoryspectral theoryapplied mathematicsmathematicsgeometric topology

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