Find Academic Supervisors

• Representation Theory
• Lie Algebras and Superalgebras
• Quantum Groups
• +5 more

Dimitar Grantcharov is a Professor in the Department of Mathematics at the University of Texas at Arlington . His research focuses on Representation Theory of Lie and Jordan Algebras, quantum groups, and weight modules with applications to mathematical physics. Education : PhD in Mathematics (University of California Riverside, 2003), MS in Mathematical Sciences (Sofia University, 1994). Research Interests include: Weight modules of Lie and Jordan algebras Quantized enveloping superalgebras Gelfand-Tsetlin modules and tableaux Geometric quantization of symmetric spaces Crystal bases and categorification Bounded representations of infinite-dimensional algebras Recent Publications span topics in quantum superalgebras, Gelfand-Tsetlin modules, and Laplace eigenfunctions on symmetric spaces, with collaborations across institutions in the U.S., Brazil, and Europe. Scientific Awards : Fulbright Scholar Award (2019), American Mathematical Society membership (2022-Present). Advising includes doctoral and master's students in representation theory, with active roles in Math Kangaroo and Putnam Exam Preparation . He has secured grants from the National Science Foundation , Simons Foundation , and National Security Agency .

• Algebraic number theory
• Local class field theory
• Galois scaffolds

Paul Schwartz is a Lecturer in Mathematical Sciences at Stevens Institute of Technology specializing in algebraic number theory, Galois module structures, and class field theory. His research develops mathematical frameworks for understanding field extensions and valuation properties.

Tara SmithView profile

Professor

• Abstract Algebra
• Quadratic Forms
• Division Algebras
• +4 more

Professor Tara Smith is a faculty member in the Department of Mathematical Sciences at the University of Cincinnati, holding the rank of Professor since 2001. She has served as both the Graduate and Undergraduate Program Director and has extensive involvement with College Board's AP Calculus program, including roles in test development and scoring leadership. Her research focuses on abstract algebra, quadratic forms, division algebras, and mathematics teacher preparation. She currently serves as a Program Director in the Algebra and Number Theory Program at the National Science Foundation (NSF). Education: A.B. in Mathematics from Princeton University (1982), Ph.D. in Mathematics from the University of California, Berkeley (1988). Her academic journey includes roles as Research Instructor at Ohio State University (1988-1991) and Assistant/Associate Professor at the University of Cincinnati (1991-2001). Research interests span algebraic theory of quadratic forms, Galois groups, valuations, and ordered fields. She has contributed to over 30 peer-reviewed publications, including studies on Witt kernels, semiorderings, and Galois realizability of finite groups. Her work bridges abstract algebra with educational initiatives, particularly in STEM teacher training. Awards include multiple Taft Faculty Summer Research Grants and Association for Women Mathematicians Travel Grants. She has secured NSF grants totaling over $435K, including roles as PI for initiatives in algebraic number theory and education programs. Her service includes leadership roles on national committees for AP Calculus and the American Mathematical Society.

Laurent BergerView profile

Professor

• Number Theory
• Arithmetic Geometry
• Galois Representations
• +5 more

Laurent Berger is a mathematician at École normale supérieure de Lyon in the Unit of Pure and Applied Mathematics (UMPA). He earned his PhD at Université Paris 6 under Pierre Colmez, focusing on p-adic representations and differential equations. After postdoctoral work at Harvard University, he held a researcher position at CNRS (University of Orsay and IHES) and taught at École Polytechnique before joining ENS de Lyon in 2007. He was a junior member of the Institut Universitaire de France (2012-2017) and is currently a Distinguished University Professor. His research centers on number theory and arithmetic geometry, with key interests in: Galois p-adic representations (Phi, Gamma)-modules p-adic Langlands program Nonarchimedean dynamical systems p-adic Fourier theory Lubin-Tate theory His 15 most recent publications span themes like super-Hölder vectors, p-adic Fourier analysis, and decomposition of cyclotomic fields, reflecting his expertise in p-adic Hodge theory and Galois module theory. He has advised four doctoral students and maintains active collaborations with researchers like K. Ardakov and P. Colmez. Awards and honors include a prestigious junior fellowship at the Institut Universitaire de France. His work is documented through 50+ publications since 2000, with MathSciNet, zbMATH, and Google Scholar profiles tracking his contributions to modern number theory.

Tongmu HeView profile

Lecturer

• Algebraic Geometry
• Number Theory
• Arithmetic Geometry
• +3 more

Tongmu He is a Mathematics Lecturer at Princeton University, affiliated with the Department of Mathematics. His research focuses on advanced topics in Algebraic Geometry, Number Theory, and Arithmetic Geometry, with particular emphasis on p-adic Hodge Theory, Galois representations, and Perfectoid spaces. He has contributed to foundational work on p-adic comparison theorems, Sen operators, and cohomological descent techniques in modern arithmetic geometry. His academic output includes groundbreaking papers on perfectoid covers of abelian varieties, purity for perfectoidness, and applications of Sen Theory to Shimura varieties. His recent work (2023–2025) explores p-adic cohomology structures and their implications for local fields with imperfect residues. Earlier contributions (2017) addressed topological conjugacy in non-hyperbolic linear flows, showcasing interdisciplinary reach. No scientific awards or grants are explicitly mentioned, but his prolific publication record reflects sustained scholarly impact. He is reachable via Fine Hall 803 and the email th7646@princeton.edu.

• Formalized Mathematics
• Algebra
• Arithmetic Algebraic Geometry
• +6 more

Adam Topaz is an Associate Professor at the University of Alberta's Department of Mathematical and Statistical Sciences, specializing in formalized mathematics, algebra, and arithmetic algebraic geometry. He holds a PhD from the University of Pennsylvania and previously served as a postdoctoral researcher at the University of Oxford and the Mathematical Sciences Research Institute. His research focuses on formalization of mathematics using the Lean theorem prover, including contributions to the Liquid Tensor Experiment and maintenance of mathlib. Key research areas include Galois theory, anabelian geometry, algebraic cycles, Hodge theory, and valuation theory. His work integrates formal methods with traditional mathematical research, emphasizing computational rigor. He has authored over 20 peer-reviewed publications, including foundational work on alternating pairs in valuation theory and categorical foundations of condensed mathematics. Topaz has received prestigious awards such as the NSF Postdoctoral Fellowship and Carlitz-Zippin Prize. He actively contributes to open-source formal mathematics projects and has supervised multiple PhD and Master’s students. His teaching spans undergraduate and graduate courses in algebra, number theory, and modules.

• Number Theory
• Arithmetic Algebraic Geometry
• Iwasawa Theory
• +4 more

Adebisi Agboola is a Professor of Mathematics at the University of California, Santa Barbara (UCSB), affiliated with the Department of Mathematics in the College of Letters and Science. His research focuses on Number Theory, Arithmetic Algebraic Geometry, and Iwasawa Theory. He has held academic positions at UCSB since 1995, including roles as Assistant, Associate, and Full Professor. Agboola has been a visiting scholar at institutions such as Harvard University, Humboldt University, and the Institute for Advanced Study. Education: Ph.D. in Mathematics, Columbia University (1991) M.A. in Mathematics, Columbia University (1988) B.A. (Hons.) and Certificate of Advanced Study in Mathematics, University of Cambridge (1985–1986) Research Interests: Agboola’s work spans Number Theory , Arithmetic Algebraic Geometry , and Iwasawa Theory . He investigates topics such as Galois module structure, elliptic curves, p-adic L-functions, and the Birch and Swinnerton-Dyer conjecture. His contributions include foundational studies on class invariants, arithmetic class groups, and algebraic K-theory. Key Articles: His recent research emphasizes Anticyclotomic Iwasawa theory , Galois module structure of rings of integers , and p-adic variants of the BSD conjecture . These studies bridge algebraic number theory and geometric approaches to arithmetic problems. Awards and Grants: NSF Grants (1997–2021) for projects on Galois theory and arithmetic geometry NSA Standard Grants (2008–2013) for research on Iwasawa theory and Galois modules NSF Mathematical Sciences Postdoctoral Fellowship (1991–1994) Advising and Service: Supervised postdoctoral scholars and graduate students in algebraic number theory and arithmetic geometry Served on committees such as the UCSB Committee on Privilege and Tenure and the MSRI External Review Committee Co-organized the Arithmetic and Geometry Seminar at UCSB Labs/Teams: Agboola collaborates extensively with researchers in arithmetic geometry and Iwasawa theory, contributing to interdisciplinary projects at the intersection of algebra, geometry, and number theory.

• Mathematics
• Associative Rings and Algebras
• Classification Theory
• +2 more

Assoc. Prof. Salahattin Ozdemir is an active faculty member in the Department of Mathematics at Dokuz Eylul University's Faculty of Science, specializing in advanced algebraic structures. His academic journey spans over 15 years at the same institution, progressing from Research Assistant to Associate Professor. Education: PhD in Mathematics (2007-2011), Dokuz Eylul University MSc in Mathematics (2005-2007), Dokuz Eylul University BSc in Mathematics (2000-2005), Dokuz Eylul University His research focuses on Associative Rings and Algebras , Classification Theory , and Homological Algebra , with significant contributions to module theory, quiver representations, and radical theory. Key investigations include rad-supplemented modules, proper classes, and finiteness conditions in algebraic structures. His work bridges abstract algebra with categorical frameworks, particularly in transfinite quiver representations. Analysis of his 15 most recent publications reveals dominant trends in module-theoretic structures (87% of works), with specialized focus on supplement submodules (40%), quiver representations (27%), and proper class generation (20%). The research consistently applies homological methods to solve classification problems in ring and module theory. Scientific Awards: First Place Award in Graduation (2005) TUBITAK 2211 Domestic PhD Scholarship (2007-2011) TUBITAK 2210 Domestic Master Scholarship (2006-2007) As an academic advisor, he has supervised two postgraduate theses on quiver representations and finiteness conditions. His research is supported by an active TUBITAK 1001 project (2023-2026) on tensor-product functor generated proper classes. He serves as Deputy Head of Department (2025-present) and participates in faculty accreditation committees. His scholarly activities include organizing algebra workshops (DEU Algebra Day 2022, Rings-Modules-Algebras Workshops 2017-2018) and peer-reviewing for 8 mathematics journals.

Violeta Leoreanu FoteaView profile

Professor

• Hyperstructures
• Fuzzy Mathematics
• Algebra
• +4 more

Prof. Violeta Leoreanu Fotea is a Professor at the Faculty of Mathematics, Al.I.Cuza University in Iasi, Romania. She has held this position since 1994, after graduating with merit in Mathematics in 1993 and earning her Ph.D. from Babes Bolyai University in 1998. Her research focuses on hyperstructures, fuzzy mathematics, algebra, and their applications in combinatorics and biology. She has received notable awards, including the Grigore Moisil Award (2011) and the 2024 Diploma of Excellence. Education: BSc in Mathematics (1993), Ph.D. in Hypergroup Theory (1998, supervised by Prof. Ioan Purdea). Research Interests: Algebraic hyperstructures, fuzzy sets, lattice theory, and applications in genetics and decision-making systems. Grants & Visits: Multiple grants in Italy, NATO fellowships, and visiting professorships at universities in Italy, Canada, Thailand, and Turkey. Organized conferences like the 14th AHA Conference (2020). Her work includes over 100 publications on hypergroups, fuzzy hyperrings, and applications in combustion modeling. She is an editor for journals like the Italian Journal of Pure and Applied Mathematics and has authored textbooks on Galois theory and module theory.

Aurelian Claudiu VolfView profile

Associate Professor

• Algebraic number theory
• Ring theory
• Near-rings
• +4 more

Roles & Affiliations: Associate Professor at Faculty of Mathematics, Al. I. Cuza University since 2002. Chancellor of the Faculty (2004-2008). Member of Romanian Society of Mathematical Sciences, American Mathematical Society, and Romanian Society of Fuzzy Systems. Conducts research in algebraic number theory, fuzzy structures, and ring theory. Education: PhD in Pure Mathematics from Université Paris-Sud (1995) with thesis on L-function local constants. Master's (DEA) in Pure Mathematics (1991) and BSc from Al. I. Cuza University (1987). Research Interests: Specializes in algebraic structures including rings/modules, near-rings, and fuzzy algebraic systems. Key achievements include characterizing d-rings via Jacobson radical, proving conjectures on L-function root numbers, and developing fuzzy ring quotient constructions. Active in algebraic coding theory and hyperstructure applications. Grants & Recognition: Directed CNCSIS project (2001). Authored 8 books including Ring Arithmetic, Field Extensions and Applications (2005) and Introducere in teoria codurilor (2013). Presented at over 20 conferences including NATO Advanced Research Workshop (2001). Holds II Prize from 1984 National Student Conference. Teaching: Courses include General Abstract Algebra, Galois Theory, and Cryptography. Developed curricula for master's programs in coding theory and pedagogical methods in algebra instruction.

Jürgen KlünersView profile

Professor

• Number Theory
• Algebraic Number Theory
• Arithmetic Statistics
• +3 more

Prof. Dr. Jürgen Klüners is a Professor of Computer Algebra and Number Theory at the University of Paderborn, affiliated with the Faculty of Computer Science, Electrical Engineering and Mathematics. His research focuses on algebraic number theory, arithmetic statistics, and Galois theory, with significant contributions to class groups, Pell equations, and L-functions. Projects: TRR 358 (Integral structures in geometry and representation theory), TP A04 (Combinatorial Euler products), TP A02 (Algebraic and arithmetic aspects of aperiodicity) Current Course: Oberseminar "Number Theory and Arithmetical Statistics" His work explores deep connections between algebraic structures and number-theoretic phenomena, particularly through computational methods. Recent publications address ℓ-torsion bounds, conductor densities, and inverse problems in Galois theory. No explicit scientific awards are listed in the provided data. He teaches advanced courses in number theory and arithmetic statistics.

Timothy AllView profile

Associate Professor

• Algebraic Number Theory
• p-adic Analysis
• Function Field Arithmetic
• +5 more

Timothy All is a full-time Associate Professor in the Department of Mathematics at Rose-Hulman Institute of Technology. He previously held visiting professor positions at Rose-Hulman and Wabash College, and served as a summer lecturer at The Ohio State University. PhD, The Ohio State University BA, The Ohio State University His research focuses on algebraic number theory, particularly the structure of class and unit modules in global field towers, p-adic analysis, and function field arithmetic. He also explores Fourier analysis on profinite groups and applications to Iwasawa theory and cryptography. Key themes in his recent publications include p-adic L-functions, Stickelberger elements, and the study of units in abelian number fields. His work bridges theoretical number theory with cryptographic applications. He has presented at the Midwest Number Theory Conference (2015) and the Rose-Hulman Undergraduate Mathematics Conference (2016). His teaching integrates technology like Maple and Mathematica, covering calculus, differential equations, linear algebra, and advanced topics in analysis and algebra.

Azniv Kirkor KasparianView profile

Professor

• Algebraic Geometry
• Hodge Theory
• Ball Quotients
• +3 more

Azniv Kirkor Kasparian is a Professor in the Department of Algebra at the Faculty of Mathematics and Informatics, Sofia University. She holds a PhD from the University of Utah (1993) and has been with the university since 1989, progressing from Assistant to her current position as Professor since 2012. Her office is located in room FMI-529, and she can be reached at +359 2 8161 710. Her educational background includes an MSc in Mathematics from the Faculty of Mathematics and Mechanics at Sofia University 'Kliment Ohridski' (1984) followed by a PhD from the University of Utah in Salt Lake City (1993). Her academic career at Sofia University has been continuous, starting as an Assistant (1989-1995), then Senior Assistant (1995-1997), Chief Assistant (1997-2001), Associate Professor (2001-2012), and finally Professor (2012-present). Professor Kasparian's primary research focus is in Algebraic Geometry, with significant contributions to Hodge Theory, Ball Quotients, and Coding Theory. Her work bridges pure mathematics with applications in coding theory, exploring connections between algebraic structures and geometric properties. She has developed expertise in variations of Hodge structure, modular forms, and the geometry of ball quotients, often examining their arithmetic properties and connections to finite fields. Her publication record shows consistent output over three decades, with recent work focusing on the intersection of algebraic geometry with coding theory. The trends in her research demonstrate a progression from foundational work in Hodge theory and Calabi-Yau manifolds to more recent applications in coding theory, particularly examining MacWilliams identities, tangent codes, and Duursma's reduced polynomial through the lens of algebraic geometry. Professor Kasparian has supervised at least two Master's students to completion: Lyubinka Nikolova (2010) who worked on 'Factors of the ball, covered by abelian surfaces' and Pancho Beshkov (2015) who researched 'Non-associative operations on variations of Hodge structure'. Her teaching responsibilities include core algebra courses such as Algebra I, Algebra II, Linear Algebra, and Higher Algebra, as well as specialized electives including Commutative Algebra, Cryptography, Coding Theory, Galois Theory, Group Theory, and Introduction to Number Theory.

• Categorification
• Representation Theory
• Lie Algebras
• +3 more

Ozan Oğuz is an Assistant Professor in the Department of Mathematics at Galatasaray University's College of Sciences, specializing in advanced algebraic structures. His academic journey includes a PhD from the University of Southern California under Prof. Aaron Lauda, followed by postdoctoral work with Susumu Tanabe, Meral Tosun, and Zafeirakis Zafeirakopoulos at Galatasaray University (2018-2022). PhD: University of Southern California (2018) MA: Université de Bordeaux 1 - University of Padova (ALGANT program) Bachelor's: Galatasaray University His research focuses on categorification and representation theory, particularly through diagrammatic algebra approaches to quantum algebras and Heisenberg categories. Recent publications demonstrate consistent innovation in algebraic combinatorics and category theory, with multiple papers exploring the structural properties of twisted Heisenberg categories and their connections to Schur functions. Oğuz actively mentors undergraduate researchers, supervising projects spanning formal theorem verification (Lean), group theory curriculum development, category theory applications in genetics, and quantum knot invariants. His outreach leadership includes founding the İstanbul Mathematics Festival and USC Mathematics Festival, demonstrating strong commitment to mathematical community building. Teaching responsibilities include advanced courses such as Rings and Modules, Representation Theory, and Abstract Algebra, alongside developing innovative materials for Math History courses that examine conceptual evolution in geometry, algebra, and analysis across historical periods.

• Number Theory
• Galois Representations
• Modular Forms
• +3 more

Dr Jayanta Manoharmayum is a Lecturer at the School of Mathematical and Physical Sciences, University of Sheffield. His research focuses on deep connections between number theory and arithmetic geometry, particularly through the lens of Galois representations and their relationships with modular forms. His primary research interests include the absolute Galois group of the rationals and its representations, which link to profound mathematical conjectures involving modular forms, Artin's conjecture, Fontaine-Mazur conjecture, and Serre's conjecture. These interests span both theoretical exploration and practical applications to diophantine equations. Manoharmayum's recent publications analyze advanced topics in algebraic structures, deformation theory, and modular forms, reflecting his expertise in number theory. He has received a Nuffield grant for his work on modularity and Galois representations over totally real fields. Scientific Awards: Nuffield Grant for Modularity and Galois Representation of Totally Real Fields