Find Academic Supervisors

Timothy J. FordView profile

Professor

• Brauer Groups
• Azumaya Algebras
• Étale Cohomology
• +7 more

Dr. Timothy J. Ford is a Professor in the Department of Mathematics and Statistics at Florida Atlantic University’s Charles E. Schmidt College of Science. He earned his Ph.D. in Mathematics from Colorado State University in 1980 under thesis advisor Frank DeMeyer. Research Interests: His work spans algebraic geometry, commutative algebra, and ring theory, with a focus on Brauer groups, Azumaya algebras, étale cohomology, and toric varieties. His research explores intersections between these areas, particularly in algebraic structures over function fields of varieties. Publication Trends: Recent works include books on abstract and commutative algebra, alongside papers on Brauer groups, ramified coverings, and algebraic surfaces. His collaborations (e.g., with D. M. Harmon) emphasize generalized crossed products and cohomological methods. Personal: Beyond academia, Dr. Ford enjoys playing the guitar and has a long-standing association with Florida Atlantic University dating to 1981.

Shankar SenView profile

Professor

• Algebra
• Algebraic Number Theory
• Galois Representations
• +3 more

Shankar Sen is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He holds a Ph.D. from Harvard University (1967). His research focuses on algebraic number theory, particularly invariants of Galois representations of p-adic fields and their connections to complex algebraic geometry. He has explored p-adic Hodge theory, Galois cohomology, and analytic families of Galois representations using p-adic functional analysis. Key research interests include the geometric aspects of equations over number fields, Hodge-Tate modules, and the interplay between arithmetic and analytical methods in number theory. His work bridges classical invariants from complex geometry with p-adic arithmetic structures. Notable publications include foundational studies on p-adic Galois theory, Hodge-Tate theory, and analytic variations of p-adic structures. His research integrates advanced techniques from p-adic analysis, functional analysis, and algebraic geometry. While no specific awards or current grants are listed, his long-standing contributions to algebraic number theory and p-adic mathematics reflect sustained academic impact. He has advised numerous graduate students in algebraic number theory and related fields.

Tung T. NguyenView profile

Visiting Assistant Professor

• Computational Number Theory
• Spectral Graph Theory
• Nonlinear Dynamics
• +3 more

Tung T. Nguyen is a Visiting Assistant Professor of Computer Science at Lake Forest College, with a PhD in Mathematics from the University of Chicago (2020). He will transition to a tenure-track Assistant Professor position at Elmhurst University in Fall 2025. His research bridges computational number theory, spectral graph theory, and nonlinear dynamics, with recent work exploring AI-driven theorem proving. He actively mentors students, emphasizing experimental projects that merge mathematical rigor with coding. Education: PhD in Mathematics (University of Chicago, 2020) under Prof. Kazuya Kato; Postdoc at Western University (2020-2024); Undergraduate at Vietnam National University. Research focuses on Algorithms for prime number theory Applications of algebraic structures in graph theory Nonlinear oscillator networks and synchronization phenomena Key awards: 2025 SIAM Early Career Travel Award (to present work at AG25 conference) and MAA Project NExT fellowship. Organized conferences include the virtual celebration of Prof. Moshe Rosenfeld's 85th birthday. Teaching includes Probability & Statistics and independent studies on prime number algorithms. Collaborates on initiatives like the Vietnam PolyMath REU program.

Florian BreuerView profile

Professor

• Number Theory
• Algebraic and Differential Geometry
• Elliptic Curves
• +7 more

Professor Florian Breuer is a mathematician at the University of Newcastle , Australia, affiliated with the Priority Research Centre for Computer-Assisted Research Mathematics and its Applications (CARMA) and the School of Information and Physical Sciences . PhD in Mathematics (2002) from Université Denis Diderot, Paris 7 D.E.A. (Masters) in Mathematics (1999) from Université Pierre et Marie Curie, Paris 6 His research focuses on Number Theory , particularly Elliptic Curves , Drinfeld Modules , and Drinfeld Modular Forms . He explores the interplay between number fields and function fields, with applications to Cryptography and Post-Quantum Cryptography . His work also spans Ducci Sequences and Finite Field Arithmetic . Recent publications highlight his contributions to modular polynomial coefficients, Drinfeld modular forms in higher rank, and the arithmetic of real quadratic fields. His research bridges abstract mathematical structures with practical cryptographic applications, emphasizing long-term technological impact. Scientific Awards Meiring-Naude Medal (2008, The Royal Society of South Africa) Alexander-von-Humboldt Fellowships (2009, 2019, 2024) Grants 2025: Bloom AI grant for tutoring platform refinement 2024: Alexander-von-Humboldt research stay 2023: AI for psychological well-being grant He actively supervises PhD and Masters students in topics like Drinfeld A-modules and modular forms. As director of CARMA, he fosters collaborative mathematical research and organizes international conferences, including the 2020 online Number Theory conference.

Ishan LevyView profile

Research Fellow

• Algebraic Topology
• Homotopy Theory
• Chromatic Homotopy Theory
• +4 more

Ishan Levy is a Clay Research Fellow at the University of Copenhagen's Faculty of Science, Department of Mathematical Sciences, specializing in advanced algebraic topology and homotopy theory. His research bridges deep connections between homotopy theory, algebraic K-theory, and number theory. Levy's research focuses on: Chromatic homotopy theory and telescopic localization Algebraic K-theory of local spheres and ring spectra Stable homotopy theory and formal group laws Hurwitz spaces and their applications to number theory Higher algebra and ∞-categorical structures His work demonstrates significant contributions to understanding the telescope conjecture, developing novel approaches to stable homology computations, and establishing connections between topological structures and number-theoretic phenomena. Levy has made important advances in understanding the K-theory of K(1)-local spheres, homological stability for Hurwitz spaces, and the structure of Eilenberg-Mac Lane spectra. Levy has received the prestigious Clay Research Fellowship, one of the most competitive postdoctoral fellowships in mathematics, recognizing his exceptional research contributions. His publications appear in leading journals including Journal of Topology, Selecta Mathematica, and Proceedings of the American Mathematical Society. He maintains active collaborations with prominent mathematicians including Robert Burklund, Jeremy Hahn, Tomer Schlank, Aaron Landesman, and Andrew Senger. His research has implications across multiple mathematical disciplines, connecting algebraic topology with number theory, category theory, and algebraic geometry.

Fred DiamondView profile

Professor

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

Professor Fred Diamond is a Professor of Number Theory at King's College London's Department of Mathematics, part of the Faculty of Natural, Mathematical & Engineering Sciences. He holds a BA from the University of Michigan (1984) and a PhD from Princeton University (1988) under Andrew Wiles. His research focuses on modular forms, Galois representations, and the Langlands Programme, including contributions to the proof of the Shimura-Taniyama-Weil conjecture. He has authored numerous articles and a textbook with Jerry Shurman on modular forms. Key awards include the AMS Centennial Fellowship (1997) and election to the London Mathematical Society (2010). His recent work explores mod p and p-adic Langlands correspondences. He has led or co-investigated projects such as the 'Langlands reciprocity and the geometry of Shimura varieties' funded by EPSRC. Collaborations include work with Christophe Breuil, Payman Kassaei, and Richard Taylor.

Asuka KumonView profile

Lecturer

• Algebraic Number Theory
• Number Theory
• Galois Theory
• +3 more

Asuka Kumon is a Lecturer in Pure Mathematics at the Department of Mathematics, King's College London, within the Faculty of Natural, Mathematical & Engineering Sciences. She holds a BSc from King's College London (2011), completed Part III at the University of Cambridge, and earned her PhD under Professor David Burns at King's in 2017. Her research focuses on algebraic number theory, including Galois modules and arithmetic cohomology. She has contributed to teaching at King’s, the London School of Economics, and King’s Maths School. Education: BSc in Mathematics, King's College London (2011) Part III Mathematics, University of Cambridge PhD in Mathematics, King's College London (2017) Research Interests: Algebraic number theory, Galois theory, arithmetic geometry, and abstract algebra. Her work explores topics like Krull-Schmidt decompositions, Galois module structures, and ray class groups. Recent Publications: Recent works include studies on unit groups of number fields and arithmetic cohomology, reflecting her expertise in advanced number theory and algebraic structures. Teaching & Outreach: Active in organizing events like the King’s annual Mathematics Teachers’ Conference, aiming to enhance math education and student engagement in STEM.

Preston WakeView profile

Assistant Professor

• Algebraic Number Theory
• Arithmetic Geometry
• Modular Forms
• +4 more

Preston Wake is an Assistant Professor in the Department of Mathematics at Michigan State University. His research focuses on algebraic number theory and arithmetic geometry, utilizing methods from modular forms and Galois deformation theory to study special values of L-functions and Iwasawa theory. He holds a PhD from the University of Chicago (2015), and has held postdoctoral positions at UCLA as an NSF Fellow and at the Institute for Advanced Study (IAS). His work is supported by an NSF CAREER grant (DMS-2337830). Research interests include computational aspects of number theory, patterns in modular forms, and applications of deformation theory to Eisenstein ideals and Hida families. His collaborations include work with Carl Wang-Erickson, Jaclyn Lang, and Kenneth Ribet. Publications span topics like Eisenstein ideals at various levels, Iwasawa invariants, and modular constructions of unramified extensions. Notable contributions include resolving questions about Mazur's Eisenstein ideal and exploring non-Gorenstein phenomena in Hecke algebras. Awards: NSF CAREER Grant (2023). Grants include active funding from the National Science Foundation. No formal advisees are listed in available materials. Collaborative work emphasizes interdisciplinary approaches between algebraic geometry and number theory.

Jitendra RathoreView profile

Visiting Assistant Professor

• Algebraic K-Theory
• Arithmetic Geometry
• Algebraic Geometry
• +1 more

Jitendra Rathore is a Visiting Assistant Professor in the Department of Mathematics at the University of California, Santa Barbara (UCSB). His research focuses on algebraic K-theory and arithmetic geometry. Previously, he held postdoctoral positions at the Harish-Chandra Research Institute (2023-2024) and Indian Institute of Science (2023), and completed his Ph.D. at the Tata Institute of Fundamental Research (TIFR) in 2023. Education: Ph.D. (TIFR Mumbai, 2023), M.S. (IISER Mohali, 2017), B.Sc. (Ramjas College, Delhi, 2014) Research interests include algebraic K-theory, arithmetic geometry, and their intersections with algebraic geometry and number theory. His work explores duality theorems, zero-cycles, and class field theory over local fields. No awards or grants are explicitly listed in the provided materials.

Farshid HajirView profile

Professor

• Algebraic Number Theory
• Galois Theory
• Elliptic Curves
• +4 more

Farshid Hajir is a Professor and Senior Vice Provost & Dean of Undergraduate Education at the University of Massachusetts Amherst. He holds a Ph.D. from MIT (1993) and an A.B. from Princeton University (1988). His research focuses on algebraic number theory, including units and class groups of number fields, Galois theory, elliptic curves, and L-functions. He also explores applications in coding theory, cryptography, and mathematics education. As a faculty member, Hajir has served as Undergraduate Program Director, Associate Department Head, and Department Head in the Mathematics & Statistics Department. He has held administrative roles in the Provost’s office, including Senior Vice Provost for Academic Affairs and currently leads Undergraduate Education. His teaching spans courses like Abstract Algebra, Number Theory, and Geometry, emphasizing rigorous mathematical reasoning and interdisciplinary connections. He actively contributes to academic service, including roles on the Faculty Senate and local education committees. His research has produced over 30 publications, including works on class field towers, restricted ramification, and elliptic units.

Matthias FlachView profile

Professor

• Arithmetic Algebraic Geometry
• L-functions
• Galois Module Theory
• +2 more

Matthias Flach is Professor of Mathematics at Caltech, specializing in arithmetic algebraic geometry and number theory. His research explores special values of L-functions, Galois module structures, and connections between zeta functions and Arakelov theory. Key research areas: Equivariant Tamagawa number conjectures Weil-étale cohomology theories Motivic L-function formulations As Executive Officer for Mathematics (2006-09), he oversaw academic programs and research initiatives in pure mathematics.

Lisa FastenbergView profile

Associate Professor

• Number Theory
• Elliptic Surfaces
• Mathematics of Voting
• +3 more

Lisa Fastenberg is an Associate Professor and Department Chairperson in the Department of Mathematics at Dyson College of Arts and Sciences, Pace University, Pleasantville campus. She holds a PhD from Yale University and a BA from the University of Pennsylvania. Her academic work bridges pure mathematics and applied social choice theory. BA, University of Pennsylvania PhD, Yale University Her primary research interests lie in Number Theory , Elliptic Surfaces , and the Mathematics of Voting and Social Choice . Her work explores deep structural properties of elliptic curves and their rational points, particularly in families and extensions, contributing to the broader understanding of Diophantine problems and arithmetic geometry. The publication trends reflect a sustained focus on the arithmetic of elliptic surfaces, especially concerning Mordell-Weil groups and integral points over function fields and cyclic extensions. These works are published in respected mathematical journals such as the Journal of Number Theory and the Proceedings of the American Mathematical Society , indicating strong theoretical contributions to algebraic and arithmetic geometry. Lisa Fastenberg is actively engaged in university service, notably as a Faculty Representative on the Pace University Board of Trustees. She is a member of professional organizations including the American Mathematical Society, Kappa Mu Epsilon, and Alpha Lambda Delta. There are no public mentions of scientific awards or student advisement in the provided text. She teaches a wide range of undergraduate mathematics courses, from foundational algebra and statistics to advanced topics such as discrete mathematics, linear algebra, calculus, and abstract algebra, reflecting her commitment to comprehensive mathematics education.

Mehmet OzenView profile

Professor

• Information and Coding Theory
• Algebra
• Number Theory
• +4 more

Prof. Dr. Mehmet Ozen is a faculty member at the Faculty of Science, Department of Mathematics, Sakarya University. His research focuses on Information and Coding Theory , Algebra , and Number Theory , with particular emphasis on Quantum Codes , Cyclic Codes , and Finite Rings . Education : Licence from Aegean University (1994), Master's (1998) and Doctorate (2002) from Sakarya University, all in Mathematics. Research Trends : Analysis of modules with S-Noetherian/Artinian properties, construction of perfect codes over finite rings with RT/Mannheim metrics, and quantum code development using Gaussian/Lipschitz integers. Scientific Awards : TÜBİTAK Scientific Publication Incentive Award (2004) TÜBİTAK Award (2006) TÜBİTAK Awards (2011, 2012) Thesis Supervision : Advised doctoral students on topics including quantum codes over Gaussian integers (2011), spotty weight identities (2010), and DNA code algebra (2009).

Tom GannonView profile

Adjunct Assistant Professor

• Geometric Representation Theory
• Algebraic Geometry
• Langlands Program
• +3 more

Tom Gannon is a Hedrick Assistant Adjunct Professor at the University of California, Los Angeles (UCLA), and will join UC Riverside as an Assistant Professor in July. He earned his PhD in 2022 from the University of Texas at Austin under Sam Raskin. His research focuses on geometric representation theory, with strong connections to algebraic geometry, the Langlands program, homotopy theory, and mathematical physics. Gannon also serves as Deputy Director of the UCLA Olga Radko Endowed Math Circle, promoting mathematics education. Education: PhD in Mathematics (2022), University of Texas at Austin. Research Interests: Geometric representation theory, Langlands program, algebraic geometry, mathematical physics, categorical methods in representation theory, and homotopy-theoretic approaches to algebraic structures. His work often bridges abstract algebra with geometric techniques, emphasizing categorification and applications to quantum field theories. Teaching & Outreach: In 2017, Gannon led a summer mini-course on algebraic number theory at UT Austin, focusing on separable field extensions, Galois theory, and modules over PIDs. He has authored expository articles in the Notices of the AMS and contributed regularly to the AMS Graduate Student Blog. His teaching materials include courses on representation theory of Lie algebras and algebraic number theory. Labs/Teams: Active collaborator with researchers such as Harold Williams and Ben Webster. Engaged in projects with Victor Ginzburg on central D-modules and quantized Coulomb branches.

Tony SchollView profile

Professor

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

Tony Scholl is a Professor of Number Theory and Algebra at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) , University of Cambridge. His research focuses on number theory , arithmetic algebraic geometry , and modular forms . He is known for his work on Galois representations, motives, and cohomology theories in arithmetic contexts. His contact details include email A.J.Scholl@dpmms.cam.ac.uk and room E1.05. Education : Not explicitly mentioned Research Interests : Tony Scholl's work bridges number theory and algebraic geometry, with a focus on modular forms, motives, and cohomology theories. His research explores connections between automorphic forms, Galois representations, and special values of L-functions, contributing to the understanding of arithmetic structures in algebraic varieties, including noncongruence subgroups and plectic cohomology. His recent publications address topics like modular curves, Hilbert modular varieties, and cohomological frameworks for arithmetic problems. Publication Trends : Scholl's publications span over three decades, emphasizing modular forms, Galois representations, and arithmetic geometry. Key themes include the study of motives for modular forms, cohomology theories for algebraic cycles, and extensions of Hodge structures in plectic theory. His work on noncongruence subgroups and ℓ-adic representations has influenced modern research in automorphic forms and arithmetic algebraic geometry. Scientific Awards : No awards mentioned in the provided data. Grants and Collaborations : While specific grants are not listed, Scholl has collaborated with mathematicians like N. Schappacher, M. Harris, and J. Nekovář on topics such as Beilinson's conjectures, trilinear forms, and plectic Hodge theory. His advisory roles and student mentorship are not detailed in the scraped data.