Find Academic Supervisors

• Algebraic Combinatorics
• Representation Theory
• Statistical Mechanics
• +3 more

Greta Panova is a Gabilan Distinguished Professor of Science and Engineering and a Professor of Mathematics at the University of Southern California (USC). Her research focuses on Algebraic Combinatorics, with connections to representation theory, statistical mechanics, probability, and computational complexity theory. She also engages in molecular biology modeling. Panova holds editorial roles at journals including the Electronic Journal of Combinatorics, Arnold Mathematical Journal, and Communications of the American Mathematical Society. She is a writer/editor for the Putnam Mathematical Competition (2023-2025) and is currently supported by NSF grants in the CCF division. Her research interests span Algebraic Combinatorics, Representation Theory, Statistical Mechanics, Probability, and Computational Complexity Theory. Specific areas include Kronecker and Littlewood-Richardson coefficients, asymptotic behavior of combinatorial structures, and the interplay between algebraic structures and computational complexity. She also explores applications in molecular biology, particularly protein dynamics in DNA lesions. NSF grants in CCF division (current) Editorial roles at Electronic Journal of Combinatorics, Arnold Mathematical Journal, and others Contributor to the Putnam Mathematical Competition Panova's research is supported by NSF grants, focusing on computational complexity and algebraic combinatorics. She has advised students in areas related to her research, though specific names aren’t listed here. Grants have funded explorations into geometric complexity theory, asymptotic combinatorics, and molecular biology modeling. Her work involves collaborations across disciplines, including statistical mechanics and integrability, as highlighted in her white paper contributions.

Kyla PohlView profile

Visiting Assistant Professor

• Combinatorics
• Symmetric Functions
• Algebraic Combinatorics
• +4 more

Kyla Pohl is a Visiting Assistant Professor of Mathematics at Colby College and an ABD PhD candidate at the University of Oregon, where she is advised by Ben Young. Her academic background includes a Bachelor of Arts degree in Mathematics with a concentration in Japan Studies from St. Olaf College and a Master's degree in Mathematics from the University of Oregon. Her research focuses on algebraic and enumerative combinatorics, with primary emphasis on Jack symmetric functions, hook length formulas, and probabilistic methods. She employs experimental approaches using SageMath and maintains an active GitHub repository showcasing implementations of combinatorial algorithms. Pohl's publications demonstrate expertise in both combinatorics and algebra, with recent work exploring probabilistic aspects of symmetric functions. Her research trajectory shows increasing focus on combinatorial algorithms and computational approaches to partition theory. She contributes to academic service through seminar organization and maintains educational resources including Jupyter notebooks demonstrating Markov Chain Monte Carlo methods. Her teaching experience includes courses in mathematics and mentorship through the Directed Reading Program.

Sara BilleyView profile

Professor

• Algebraic Combinatorics
• Algebraic Geometry
• Combinatorics
• +7 more

Professor Sara Billey is a faculty member in the Department of Mathematics at the University of Washington. She holds a PhD from the University of California, San Diego (1994) and an SB from MIT (1990). Her research focuses on algebraic combinatorics, including Schubert polynomials, flag manifolds, and representation theory of Lie groups. She advocates for computational methods in mathematics and explores undecidable problems. Notable awards include the PECASE Award. Her work bridges theoretical mathematics with machine learning applications, as seen in recent collaborations on AI-driven conjecturing tools. Education: PhD (UCSD, 1994), SB (MIT, 1990). Research emphasizes algebraic structures and their combinatorial interpretations, with contributions to Schubert varieties, Bruhat orders, and Kazhdan-Lusztig polynomials. She has pioneered computational frameworks for conjecture generation in pure mathematics. Grants include PECASE-funded projects on combinatorial structures in algebra and geometry. Active in teaching and advising, though no specific advisees are listed.

• Theory of Partitions
• Modular Forms
• q-Series
• +3 more

Koustav Banerjee is a Researcher at the Research Institute for Symbolic Computation (RISC) of Johannes Kepler University (JKU Linz). He holds a PhD in Mathematics (2022) from RISC, JKU, focusing on analytic number theory and partition function analysis. His primary research areas include Theory of Partitions, Modular Forms, q-Series, Combinatorics, and Mathematical Analysis. His work addresses asymptotic expansions, inequalities, and combinatorial proofs related to partitions, Bessel functions, and modular forms. Notable contributions include error bounds for partition function asymptotics, proofs of Chen's conjectures on partition inequalities, and applications of the localization method to congruence families. Publications highlight his expertise in bridging analytic methods with symbolic computation. Recent articles explore partition function inequalities, Bessel function properties, and combinatorial structures like plane partitions and hook-type tableaux. His research often intersects algebraic geometry and discrete mathematics, yielding results with implications in theoretical physics and computer algebra systems. Affiliated with RISC since his PostDoc tenure, he collaborates on technical reports and publishes in journals like Rocky Mountain Journal of Mathematics , European Journal of Combinatorics , and Annals of Combinatorics . His work emphasizes rigorous mathematical proofs and computational verification in number theory.

Jacob MatherneView profile

Assistant Professor

• Algebraic combinatorics
• Combinatorial representation theory
• Computational algebra
• +3 more

Jacob Matherne is an Assistant Professor in the Department of Mathematics at North Carolina State University (NC State), part of the College of Sciences. His research focuses on algebraic combinatorics, combinatorial representation theory, computational algebra, and geometric representation theory, with a strong emphasis on matroid theory and logarithmic concavity phenomena. He holds a Ph.D. in Mathematics from Louisiana State University (2016). His work bridges algebraic geometry, topology, and discrete mathematics, particularly through studies of matroid cohomology, logarithmic concavity of polynomials, and equivariant structures. He is affiliated with the Algebra and Combinatorics Research Group at NC State's Department of Mathematics. Recent research trends include exploration of matroid Chow rings, equivariant log concavity, and applications of Hodge theory to combinatorial geometries. His publications span prestigious journals like Advances in Mathematics and Transactions of the American Mathematical Society , with a focus on foundational questions in combinatorial algebra and geometric representation theory. No academic awards or grants are explicitly listed in the provided materials. He advises no listed students but collaborates actively within the Algebra and Combinatorics Faculty group at NC State.

Laura YangView profile

Lecturer

• Combinatorics
• Discrete Mathematics
• Graph Theory
• +1 more

Laura Yang is an Associate Lecturer in the Department of Mathematics at the University of Central Florida. Her research explores combinatorial mathematics, including tree structures, permutation patterns, and enumerative techniques. Publications focus on Riordan paths, hook-length identities, and discrete mathematical structures. Teaches undergraduate mathematics courses and contributes to curriculum development.

George E. AndrewsView profile

Professor

• Number Theory
• Partitions
• q-Series
• +3 more

George E. Andrews is the Atherton Professor of Mathematics at The Pennsylvania State University, where he has established himself as a leading authority in number theory, particularly in partitions, q-series, and combinatorics. His distinguished career has centered around Penn State, where he holds one of the university's highest academic honors. Dr. Andrews earned his Ph.D. from the University of Pennsylvania in 1964. His academic journey has been primarily at Penn State, where he has developed into one of the world's foremost experts in partition theory and Ramanujan's mathematics. Professor Andrews' research focuses on Number Theory , with special emphasis on Partition Theory and q-Series . He is renowned for discovering Ramanujan's "lost notebook" in 1976, which launched decades of groundbreaking research documented in his five-volume series with Bruce Berndt. His work spans integer partitions, mock theta functions, combinatorial identities, and connections to statistical mechanics. Andrews' 1976 monograph "The Theory of Partitions" remains the definitive reference in the field, and his contributions have revitalized interest in Ramanujan's enigmatic discoveries. Analysis of Andrews' recent publications (2023-2025) reveals continued innovation in partition theory, with increasing attention to overpartitions, Schmidt-type theorems, parity considerations, and connections to modular forms. His work maintains the deep combinatorial insights that characterize his career while expanding into new mathematical territories. The consistency of high-impact research over five decades demonstrates his enduring influence on the field. While specific awards aren't detailed in the provided information, Professor Andrews' distinguished Atherton Professorship at Penn State and his extensive publication record, including multiple volumes on Ramanujan's lost notebook, attest to his significant contributions to mathematics. Throughout his career, Andrews has mentored numerous graduate students and collaborated extensively with mathematicians worldwide, including Bruce Berndt, Richard Askey, and Kimmo Eriksson. His research has been supported by various grants that have enabled the production of influential mathematical texts and the advancement of partition theory. Professor Andrews has been central to a vibrant international research community in partition theory and q-series. His work has inspired and connected researchers across institutions, creating an influential network focused on advancing the understanding of Ramanujan's legacy and partition mathematics.

William J. KeithView profile

Associate Professor

• Combinatorics
• Partition Theory
• q-series
• +3 more

William J. Keith is an Associate Professor in the Department of Mathematics at Michigan Tech University . He specializes in combinatorics with a focus on partition theory , q-series , and identities . His teaching includes courses like Introduction to Linear Algebra and Combinatorics and Graph Theory , though he is currently on sabbatical for Spring 2025. Office hours: Monday/Wednesday 3-4pm (Fisher 314) or via Zoom Research interests center on partition theory , including Schmidt-type theorems , unimodality of major index distributions, and congruences for regular partitions. His work frequently bridges combinatorics with algebraic structures and modular forms. Recent publications highlight his contributions to generalized partition bijections , q-series identities , and graph-theoretic extensions . He is actively involved in mentoring graduate students, including current doctoral advisees Hunter Waldron and Philip Cuthbertson , and has previously supervised master's theses by J. T. Davies and Emily Anible . Keith coordinates the Partitions Seminar (active since 2021) and serves on the Undergraduate Committee , while also acting as an alternate faculty Senator for the Math Department. He emphasizes collaboration, particularly in exploring open problems like refining Stanley's formula and studying overpartition analogues of Gaussian coefficients.

Allan BereleView profile

Professor

• Algebra
• Combinatorics

Allan Berele is a Professor in the Department of Mathematical Sciences at DePaul University's College of Science and Health, serving as full-time faculty since 1986 with active contact details indicating current status. Education: PhD, University of Chicago (1981), Advisor: I.N. Herstein Postdoctoral positions: Weizmann Institute, University of California at San Diego, University of Pennsylvania His research centers on algebraic structures and combinatorial mathematics, specializing in representation theory applications. Work emphasizes Young diagram generalizations, Lie superalgebras, and combinatorial invariants with theoretical implications across mathematical physics. Analysis of his publication record (60+ papers) reveals sustained focus on algebraic combinatorics, particularly diagram-based representation theory. The 1987 Hook Young diagrams paper exemplifies his interdisciplinary approach connecting combinatorial structures to Lie superalgebra classifications. Scientific Awards: No awards, fellowships, or medals were documented in the source material. Advising and Grants: The text provides no information regarding graduate students, postdoctoral mentees, or externally funded research projects.

Ionut Ciocan-FontanineView profile

Professor

• Algebraic geometry
• moduli spaces
• Gromov-Witten theory

Ionut Ciocan-Fontanine is a Professor in the School of Mathematics at the University of Minnesota. His office is located at 450 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at ciocan@math.umn.edu or by phone at (612) 625-7801. His primary research interests include: Algebraic geometry Moduli spaces Gromov-Witten theory Ciocan-Fontanine has made significant contributions to quasimap theory, which provides new approaches to Gromov-Witten invariants and quantum cohomology. His work bridges algebraic geometry, combinatorics, and mathematical physics, particularly in areas related to mirror symmetry and string theory. He has developed important connections between abelian and nonabelian quotients in quantum cohomology and has extensively researched wall-crossing phenomena in various geometric contexts. His recent publications show a consistent pattern of high-impact work in top mathematics journals including Journal of the European Mathematical Society and Inventiones Mathematicae. His research spans from theoretical foundations of moduli spaces to practical applications in combinatorics, particularly through his work on hook length formulas and their connections to representation theory. Professor Ciocan-Fontanine has established himself as a leading figure in modern algebraic geometry through his extensive collaborations, particularly with Bumsig Kim, and his innovative approaches to longstanding problems in enumerative geometry.