Find Academic Supervisors

• Mathematics
• Number Theory
• Combinatorics
• +3 more

Chan Song Heng is an Associate Professor in the Division of Mathematical Sciences at the School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Singapore. He has been affiliated with NTU since 2007. His academic journey includes a B.Sc. (Hons) in Mathematics from the National University of Singapore (2001) and a Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign (2005). His research focuses on advanced mathematical topics such as partition theory, q-series, mock theta functions, and number theory. Recent work includes studies on identities analogous to Jacobi, Fermat-Wilson theorems, and applications of Rogers-Fine identities. His publications explore combinatorial, analytic, and algebraic aspects of these fields, with notable contributions to modular forms, theta functions, and partition congruences. Dr. Chan’s articles often intersect with classical problems in mathematics, blending historical insights with modern analytical techniques. Notable themes include exploring identities through modular forms, analyzing partition statistics (ranks/cranks), and studying mock theta functions. Despite his prolific output, no specific scientific awards or student advisees are listed in the provided materials.

Michael J. SchlosserView profile

Professor

• Combinatorics
• Number Theory
• Special Functions
• +3 more

Michael J. Schlosser is a faculty member at the Faculty of Mathematics , University of Vienna. His research focuses on combinatorics, number theory, and special functions, with a particular emphasis on hypergeometric and q-series, elliptic extensions, and rook theory. He has authored numerous publications in collaboration with prominent mathematicians such as Victor Guo, Meesue Yoo, and Christian Krattenthaler. Research Interests : Combinatorics and hypergeometric series Elliptic functions and their applications Partition theory and supercongruences Matrix inversions and determinant evaluations Students : Josef Küstner (Ph.D., 2022) Christian Stump (Ph.D., 2008) Editorial Roles : Associate Editor, Journal of Mathematical Analysis and Applications Editorial Board Member, The Ramanujan Journal Editorial Board Member, Journal of Algebraic Combinatorics

• Machine Learning
• Causal Inference
• Signal Processing
• +4 more

Yongqiang Chen is a Professor at the Chinese Academy of Sciences in the School of Engineering, Department of Computer Science and Engineering. With over 15 years of continuous research contributions spanning from 2005 to 2025, Dr. Chen has established himself as a versatile scholar working at the intersection of theoretical mathematics, machine learning, and practical engineering applications. Dr. Chen's research expertise encompasses: Machine Learning and Causal Inference, with recent focus on large language models and out-of-distribution generalization Signal and Image Processing, particularly in keyword spotting and watermarking applications Optimization Algorithms for engineering and management problems Theoretical Mathematics, including partition functions and combinatorial identities Engineering Management and Project Governance in construction contexts His recent publication trajectory (2023-2025) reveals a strategic evolution toward integrating causal reasoning with modern neural architectures, while maintaining strong connections to practical applications. Dr. Chen's work demonstrates exceptional interdisciplinary range, bridging pure mathematics with cutting-edge AI development and engineering solutions. His publications in venues like AAAI, NeurIPS, and IEEE Transactions reflect both theoretical rigor and practical relevance across multiple domains including renewable energy, neuroscience, and construction management. Dr. Chen maintains active collaborations with researchers across institutions, particularly with Bo Han on causal language models, James Cheng and Yiping Ke on brain network analysis, and various colleagues in engineering management. His research group appears to focus on developing theoretically sound yet practically applicable computational frameworks that address real-world challenges while advancing fundamental knowledge in machine learning and optimization.

• Knot Theory
• 3-Manifold Theory
• Quantum Invariants
• +3 more

Oliver T. Dasbach is a Professor in the Department of Mathematics at Louisiana State University (LSU), where he has served since 2002. He held the position of Department Chair from 2016 to 2025 and currently serves as Interim Director of the LSU Center for Computation & Technology (CCT). His academic trajectory progressed from Assistant Professor to Associate Professor and ultimately to Full Professor, reflecting sustained contributions to mathematical research and leadership within the institution. Dasbach's research centers on Computational Methods in Knot and 3-Manifold Theory and Quantum Invariants, with particular emphasis on Khovanov homology, Turaev surfaces, and colored Jones polynomials. His work bridges topology, representation theory, and mathematical physics through computational frameworks that analyze knot structures and quantum invariants. This interdisciplinary approach has yielded significant insights into the geometric and algebraic properties of low-dimensional manifolds, with applications extending to statistical mechanics and number theory. Analysis of his 15 most recent publications reveals consistent focus on extremal properties of knot invariants, recurrence relations in polynomial sequences, and connections between quantum topology and hyperbolic geometry. His research demonstrates methodological innovation in translating topological problems into combinatorial and computational frameworks, with recurring themes including Turaev genus classifications, head-tail behaviors of polynomial invariants, and volume conjectures linking geometric and quantum structures. His scientific recognition includes the SEC Academic Leadership Development Program Fellowship (2018-2019), which acknowledges leadership potential within the Southeastern Conference academic community. SEC Academic Leadership Development Program Fellow (2018-2019) Dasbach has secured substantial research funding as Principal Investigator on multiple National Science Foundation grants, including the $2.5M RTG grant "Topology, Representation Theory, and Mathematical Physics" (2023-2028). His grant portfolio spans 20 years with continuous NSF support, featuring collaborative FRG projects on Hyperbolic Geometry and Jones Polynomials and foundational work on Three-Manifold Invariants. These awards demonstrate sustained external validation of his research program and capacity to lead large-scale collaborative mathematical initiatives.

Madeline DawseyView profile

Associate Professor

• Number Theory
• Combinatorics
• Applied Mathematics
• +3 more

Madeline Dawsey is an Associate Professor of Mathematics at the University of Texas at Tyler. She holds a Ph.D. in Mathematics from Emory University (2019) and dual bachelor's degrees in Mathematics and Italian from the University of Georgia (2014). Her research focuses on the intersection of combinatorics and number theory, with a particular emphasis on partitions, prime numbers, and digital representations. She has also conducted applied mathematics research analyzing swimming data using accelerometers. Education: Ph.D., Mathematics, Emory University, 2019 B.S., Mathematics and A.B., Italian, University of Georgia, 2014 Dr. Dawsey’s research interests span number theory, combinatorics, and applied mathematics, with recent work exploring partition theory and its applications. Her publications frequently address topics like partition identities, modular forms, and algebraic structures. She has advised numerous undergraduate and graduate students on research projects, including studies on partitions, permutations, and applied mathematical modeling. Her teaching spans a wide range of courses, from calculus and statistics to abstract algebra and combinatorics. She has been recognized for her pedagogical contributions, including mentoring students who have received MathFest Outstanding Presentation Awards. Dr. Dawsey is actively involved in academic service, serving as founder and faculty advisor for the Women in Math and Science (WIMS) organization and as faculty advisor for the Pi Mu Epsilon Mathematics Honor Society at UT Tyler.

• Combinatorics
• Number Theory
• Special Functions
• +3 more

Michael Schlosser is an Associate Professor at the Faculty of Mathematics and Department of Mathematics . His research focuses on combinatorics, number theory, and special functions, with a strong emphasis on q-series and hypergeometric series. Research Interests Combinatorics (ascent sequences, lattice paths, rook theory) Number Theory (supercongruences, cyclotomic polynomials, modular forms) Special Functions (theta functions, hypergeometric functions, orthogonal polynomials) Algebra (noncommutative hypergeometric series, matrix inversions) Recent Article Trends (2012-2025) span q-supercongruences, determinant evaluations, asymptotics of Fishburn matrices, lattice path combinatorics, and elliptic hypergeometric series. His work often intersects classical analysis with computational mathematics. Collaborators include prominent researchers like Victor J. W. Guo, Yujun Jin, Ae Ja Yee, Christian Krattenthaler, and Hwang-Fu Zhou.

Ali UncuView profile

Senior Lecturer

• Symbolic Computation
• Algebraic Combinatorics
• q-Series
• +3 more

Ali Uncu is a Senior Lecturer in the Department of Computer Science at the University of Bath. His research focuses on symbolic computation, algebraic combinatorics, and q-series applications. He has contributed to areas such as quantifier elimination, partition theory, and computational mathematics. His work often bridges theoretical mathematics and algorithmic solutions, particularly in automated reasoning and mathematical software development. Uncu's research interests include the study of generating functions, combinatorial identities, and the application of computational methods to solve problems in algebra and number theory. He has explored topics like unimodality of Gaussian polynomials, cylindric partitions, and Rogers-Ramanujan-type identities. His contributions also involve developing tools like the qFunctions Mathematica package for q-series analysis. Recent publications highlight his work on hybrid quantifier elimination methods, factorial basis approaches for q-series, and advancing the DEWCAD project to improve cylindrical algebraic decomposition algorithms. His research trends emphasize combining algorithmic innovation with deep mathematical insights to address complex theoretical problems. No scientific awards or grants are explicitly mentioned in the provided texts. His advising and collaboration activities are not detailed here, though his work often involves interdisciplinary collaborations, as seen in co-authored papers with experts in symbolic computation and combinatorics.

• Automorphic Forms
• Modular Forms
• Combinatorics
• +7 more

Karl Mahlburg was an Associate Professor in the Department of Mathematics at Louisiana State University from 2011 to 2021. He holds a Ph.D. in Mathematics from the University of Wisconsin-Madison, an M.S. in Mathematics, and a B.S. in Mathematics from Harvey Mudd College. His research focuses on automorphic forms, partition theory, combinatorial number theory, and nonstandard analysis. Research interests include: Theory of automorphic forms including modular forms and harmonic Maass forms Applications to partition theory and basic hypergeometric series Algebraic and finite combinatorics including graph theory Combinatorial probability and nonstandard analysis Dr. Mahlburg has received several prestigious awards including the Humboldt Foundation Fellowship, LSU Faculty Excellence Award, and PNAS Paper of the Year Award for his groundbreaking work on partition congruences. His research has been supported by NSF grants and Louisiana Board of Regents funding. He has advised numerous graduate and undergraduate students in mathematics research, with doctoral students pursuing careers in academia and industry. Dr. Mahlburg organized LSU's Problem-Solving Seminar for undergraduate mathematics competitions and served on multiple departmental committees.

Hamza YesilyurtView profile

Associate Professor

• q-Series
• Partition Theory
• Theta Functions
• +3 more

Hamza Yeşilyurt is Associate Professor of Mathematics at Bilkent University specializing in q-series and modular forms. Research bridges partition theory, theta functions, and Ramanujan's identities. Develops combinatorial proofs for Rogers-Ramanujan function identities and investigates connections between quadratic forms and eta-quotients. Manages the Mathematics department's mandatory internship program for undergraduates. Teaches mathematics courses while exploring representations of integers by binary/quaternary forms derived from Ramanujan's work. Office hours available by appointment.

Heekyoung HahnView profile

Academic

• Number Theory
• Automorphic Representations
• Trace Formula
• +2 more

Heekyoung Hahn is an Associate Research Professor of Mathematics at Duke University, affiliated with the Trinity College of Arts & Sciences. Her research focuses on Number Theory, Automorphic Representations, Trace Formulae, and related areas such as Littlewood-Richardson Coefficients. She holds a Ph.D. from the University of Illinois, Urbana-Champaign (2004). Hahn has held visiting positions at McGill University (2010–2012), the University of Rochester (2004–2007), and Pohang University of Science and Technology (2020–2021). She leads initiatives like the Public Lectures Unveiling Math (PLUM) and directs outreach programs such as the Summer Workshop in Math (SWiM). Her grants include NSF-funded projects on Linked via L-functions and NSA-supported Re:boot conferences. Education: Ph.D. in Mathematics, University of Illinois, Urbana-Champaign, 2004. Research Interests: Number Theory, Automorphic Representations, Trace Formula, Laplacian Eigenfunctions, and applications to algebraic structures. Her work bridges analytic and algebraic number theory, with contributions to modular forms, L-functions, and combinatorial methods. Grants & Service: Principal Investigator: NSF RTG Linked via L-functions (2023–2028). Co-Principal Investigator: NSA Re:boot Number Theory Conference (2016–2018). Leadership roles include Associate Director of Undergraduate Research and Director of Outreach at Duke's Mathematics Department. Awards & Recognition: Featured in Girls' Angle (2018) for her contributions to mathematics and outreach. Professional Activities: Extensive presentations at international conferences, including the CIRM, KIAS, and AMS sessions. Organized events like the Renaissance Math Event and served on committees for the Noetherian Ring and Bass Connections. Labs/Teams: Collaborates through Duke's research networks and leadership in programs fostering undergraduate and graduate engagement in mathematics.

Ivan CherednikView profile

Professor

• Representation theory
• Mathematical physics
• Combinatorics
• +8 more

Ivan Cherednik is a Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. His research spans multiple disciplines in mathematics and its applications. Representation theory Mathematical physics Combinatorics Number theory Algebraic geometry Low-dimensional topology Mathematical biology Quantitative finance Cherednik's work has been revolutionary in several areas of mathematics. He's known for defining Double Affine Hecke Algebras (DAHA) and proving Macdonald's conjectures in q-combinatorics. His research has produced new theories of hypergeometric functions, DAHA invariants of algebraic knots and links, and new developments in the theory of Rogers-Ramanujan identities. Recent publications show his continued research activity, with work in 2024 on R-matrix quantization of formal loop groups, superpolynomials of algebraic links, and connections between zeta-polynomials, superpolynomials, DAHA, and plane curve singularities. He has also applied his mathematical expertise to real-world problems, particularly in modeling the spread of the COVID-19 virus using Bessel functions and other mathematical approaches.

Barry McCoyView profile

Professor

• Statistical Mechanics
• Integrable Models
• Critical Phenomena
• +4 more

Barry McCoy is a Distinguished Professor of Physics at the Institute for Theoretical Physics, State University of New York at Stony Brook. He received his BS from Cal Tech in 1963 and PhD from Harvard University in 1967. His research focuses on statistical mechanics and integrable models, with contributions spanning critical phenomena, random impurities, wetting transitions, Painlevé differential equations, quantum spin chains, and Rogers-Ramanujan identities. He was awarded the 1999 Dannie Heineman Prize for groundbreaking work on classical statistical mechanics and integrable models. His research combines mathematical creativity with physical insight, leading to advancements in both physics and mathematics. McCoy has advised numerous graduate students and has held visiting positions at Kyoto's Research Institute of Mathematical Sciences, Institut Henri Poincaré, and Australian National University. His work is supported by grants including NSF DMR 97-03543.