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Wei HoView profile

Professor

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

Wei Ho is a Professor of Mathematics at the University of Michigan (on leave) and holds affiliations at the Institute for Advanced Study (IAS) and Princeton University. Her research focuses on number theory, algebraic geometry, and their intersections with invariant theory, dynamics, and combinatorics. She earned her M.A. from Harvard University (2003) and Ph.D. from Princeton University (2009). Her work bridges arithmetic geometry and algebraic structures, including studies on elliptic curves, Brauer groups, and moduli spaces. Notably, she co-organized events like the 2025 Emmy Noether Lecture Series (IAS) and contributed to editorial boards such as International Mathematics Research Notices . Recognitions include the 2017 Sloan Fellowship and 2023 AMS Fellowship. Ho actively collaborates in workshops and conferences, addressing topics like arithmetic statistics, rational points, and geometric methods in number theory. Her research often involves coregular spaces, Galois closures, and applications of algebraic geometry to solve classical problems in arithmetic.

Isabelle DuboisView profile

Lecturer

• Algebraic Number Theory
• Numeration
• Mathematics Education
• +3 more

Isabelle Dubois is a Lecturer at the Université de Lorraine, affiliated with the UFR Mathematics Computer Science Mechanics department. Her research spans algebraic number theory, numeration systems, and mathematics education/outreach. She collaborates with Benoît Rittaud on circular words and has contributed to MATh.en.JEANS workshops promoting investigative learning. Research interests include Galois structures in number fields, numerical representations, and didactic methodologies. Recent work focuses on circular words theory, though publications are pending. She actively engages in science communication through exhibitions, conference presentations, and educational initiatives. Past projects include co-creating the 'Universe of Numbers' exhibition and presenting at the Numeration 2017 conference. Her teaching outreach includes workshops for schools and conferences like the 2023 MeJ event in Mulhouse. No formal grants or awards listed. Advising/mentoring activities not explicitly detailed. Labs/teams: Member of the Analysis and Number Theory research group at IECL (Institut Élie Cartan de Lorraine).

• Algebra
• Homological Algebra
• Representation Theory
• +5 more

Petter Andreas Bergh is a Professor at the Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU). He holds a Cand.scient and PhD in mathematics from NTNU. His research focuses on algebraic structures, homological algebra, representation theory, and noncommutative geometry. He is a core member of the algebra group at NTNU and has contributed extensively to areas such as triangulated categories, support varieties, and quantum complete intersections. His academic work includes over 50 peer-reviewed publications in journals like Journal of Noncommutative Geometry , Arkiv för Matematik , and Advances in Mathematics . Recent research explores separable equivalences, matrix factorizations, and categorical structures in finite tensor categories. He has also authored doctoral and master’s theses and supervised academic reports, including contributions to the Fremtidens teknologistudier (FTS) project. Bergh teaches advanced courses such as MA8202—Commutative Algebra and MA3202—Galois Theory. His work emphasizes theoretical foundations and their applications in modern algebraic frameworks.

Alex TorzewskiView profile

Research Fellow

• Arithmetic Geometry
• p-adic Geometry
• Number Theory
• +3 more

Dr. Alex Torzewski is a Research Fellow at King's College London's Department of Mathematics, affiliated with the Heilbronn Institute as a London Fellow. They hold a PhD from the University of Warwick (2018) and previously worked as a Postdoctoral Researcher at University College London. Education: PhD in Mathematics, University of Warwick, 2018 Research focuses on arithmetic geometry, p-adic geometry, and bounding rational points using p-adic methods. Key interests include motives, modular representation theory, and applications of lattice theory. Recent work explores arithmetic applications of free sublattices and rational points in curve families. Publications emphasize algebraic structures and number theory, with contributions to the Journal of Algebra and the Bulletin of the London Mathematical Society . Research aligns with King's strong tradition in number theory. No scientific awards listed. No advisees or grants explicitly mentioned. Affiliated with the Heilbronn Institute for mathematical research collaborations.

Kirsten Graham WickelgrenView profile

Professor

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

Kirsten Graham Wickelgren is a Professor of Mathematics at Duke University's Trinity College of Arts & Sciences. She holds a Ph.D. from Stanford University (2009). Her research focuses on algebraic geometry, algebraic topology, and number theory, with an emphasis on motivic homotopy theory and its applications to enumerative geometry. She has received recognition including the 2022 Fellow of the American Mathematical Society and membership in the K-Theory Foundation since 2021. Her work explores topics such as A¹-homotopy theory, Galois actions on fundamental groups of curves, and quadratic enrichment of classical invariants. She has led grants from the National Science Foundation, including projects on A¹-homotopy theory and training programs in number theory. She teaches advanced courses in algebra and geometry and mentors students at various levels. Her professional service includes editorial roles in journals like the New York Journal of Mathematics and Annals of K-Theory , and organizing conferences such as the Motivic Homotopy Theory workshop at the IAS Park City Mathematics Institute.

• Algebra
• Linear Algebra
• Lie Algebras
• +5 more

Dr David Fisher is a Teaching Fellow in Mathematics affiliated with the School of Mathematics and Physics. He is actively involved in teaching and curriculum development, serving on the Departmental Teaching and Learning Committee and the Staff-Student Liaison Committee. His research centers on advanced algebraic structures, with a focus on Lie Algebras , Linear Algebra , and Algebraic Structures . His work bridges pure mathematics and theoretical applications, particularly in symmetry and classification problems in low-dimensional algebras. The available publication highlights his contributions to the classification of automorphisms in real Lie algebras of dimension five or less, reflecting a strong trend in structural algebra and mathematical physics. His teaching portfolio includes core and advanced modules such as Algebra , Numbers and Sets , Galois Theory , and Lie Algebras , indicating deep expertise in foundational and higher-level algebra. Member of the Institute of Mathematics and its Applications Dr Fisher is engaged in academic service and professional development through committee roles and institutional memberships. While no grants or student supervision are mentioned in the text, his extensive teaching load and research output suggest an active role in mathematical education and scholarship. He is associated with research and teaching teams within the School of Mathematics and Physics, contributing to both undergraduate and postgraduate programs in algebra and related fields.

Alan KochView profile

Professor

• Abstract Algebra
• Linear Algebra
• Finite Groups
• +7 more

Alan Koch is Professor of Mathematics at Agnes Scott College, affiliated with the Department of Mathematics within the College of Arts and Sciences. He holds a PhD and MA from the State University of New York at Albany and a BA from the University of Vermont. His academic work centers on algebra and its applications in number theory and cryptography. Research Interests: Professor Koch's research lies primarily in abstract algebra, including finite groups, finite fields, and Hopf algebras. He also explores number theory, cryptography, and algebraic Fibonacci sequences. His work often bridges pure algebra with applications in field theory and Galois module structure, particularly in inseparable extensions. Recent Publications Trends: His recent publications focus on algebraic structures in characteristic p, integral Galois module theory, and Hopf Galois structures on inseparable field extensions. One interdisciplinary paper applies mathematical modeling to evolutionary biology, specifically sex allocation in hermaphroditic species, indicating a breadth of application in mathematical thinking. Professional Activities: Active researcher in algebra and number theory Contributor to mathematical education at the undergraduate level Participant in academic publishing in peer-reviewed journals Advising and Grants: While specific advisees and grant funding are not listed, Professor Koch likely mentors undergraduate research projects in mathematics, given Agnes Scott’s emphasis on student research and internships with institutions such as the CDC and NSA. The department supports student development through the Math Research Center and research opportunities nationwide. Labs and Teams: There is no mention of a dedicated research lab, but he is part of the broader Department of Mathematics team at Agnes Scott College, which fosters collaborative teaching and research. The department promotes student engagement through research projects, internships, and participation in national summer programs.

Christopher FreiView profile

Associate Professor

• Arithmetic Geometry
• Analytic Number Theory
• Algebraic Number Theory
• +9 more

Christopher Frei is an Associate Professor at the Institute of Analysis and Number Theory , Graz University of Technology. His research lies at the intersection of arithmetic geometry and analytic and algebraic number theory. Research Trends : His recent work focuses on the distribution of genus numbers in abelian fields, ℓ-torsion bounds in class groups, and rational points on algebraic varieties. He explores arithmetic progressions in quadratic forms, abelian extensions with norm constraints, and applications of o-minimality to Manin's conjecture. Publications : A prolific contributor to number theory, Frei's 15 most recent articles span topics from prime constellations to divisor sums and rational points on cubic surfaces. His collaborations with researchers like Loughran, Newton, and Sofos highlight interdisciplinary approaches combining algebra, analysis, and geometry. Teaching & Outreach : He holds teaching authorization in mathematics at TU Graz and participates in seminars like the Graz-ISTA Number Theory Days .

Frauke BleherView profile

Professor

• Representation Theory
• Algebra
• Number Theory
• +4 more

Frauke Bleher is a Professor of Mathematics at the University of Iowa, affiliated with the Department of Mathematics within the College of Liberal Arts and Sciences. Her research focuses on representation theory of groups and finite-dimensional algebras, with expertise in algebra and number theory. She holds a PhD from the University of Stuttgart. Her research interests span representation theory, algebraic geometry, and number theory, with a particular emphasis on Iwasawa theory, Galois module structures, and deformation theory. She has contributed to understanding Massey products in algebraic geometry, Galois representations, and cohomological methods in arithmetic contexts. Her recent articles explore themes such as higher genus curves, class field towers, and exterior powers in Iwasawa theory. Her work bridges abstract algebra with applications in number theory and geometry, often involving intricate cohomological and representation-theoretic techniques. Bleher has been actively involved in collaborative research projects, including those funded by the National Science Foundation. She maintains an active research program and contributes to academic outreach through her departmental activities.

Bjorn PoonenView profile

Professor

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +7 more

Bjorn Poonen is a Professor of Mathematics and Distinguished Professor in Science at the Massachusetts Institute of Technology . His research spans Arithmetic Geometry , Number Theory , and Computational Mathematics , with support from the National Science Foundation and the Simons Foundation . He is a founding member of the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation . Research Interests : Poonen investigates Rational Points on Varieties , Undecidability in Number Theory , and Computational Methods for solving Diophantine equations. His work bridges Arithmetic Geometry with Number Theory , often leveraging Algebraic Geometry and Model Theory to address foundational problems. Recent Publications highlight trends in Explicit Descent , Brauer-Manin Obstructions , and Galois Representations . Notably, he explores Effective Methods for determining Integral Points on curves and Uniform Boundedness of rational and preperiodic points on varieties. Awards and Recognition : Awarded the 2023 AMS Doob Prize for his influential book Rational Points on Varieties . Recipient of the 2011 Chauvenet Prize for expository excellence in Undecidability in Number Theory . Recognized for Outstanding Undergraduate Teaching at MIT, including the MIT School of Science Prize in Undergraduate Teaching (2014, 2009). Academic Service : Poonen has organized major conferences like the Arizona Winter School and Arithmetic Geometry, Number Theory, and Computation workshops. He serves on editorial boards for journals such as the Journal of the American Mathematical Society and Involve , and participates in panels for the American Mathematical Society , including the Leroy P. Steele Prize and Cole Prize committees.

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.

Yuan LiuView profile

Assistant Professor

• Number Theory
• Group Theory
• Arithmetic Geometry
• +2 more

Yuan Liu is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign. He holds a Ph.D. from the University of Wisconsin-Madison and a Bachelor’s degree from Peking University, China. His research focuses on number theory, group theory, and arithmetic geometry, with support from NSF Grant DMS-2200541. Key contributions include studies on Galois groups, class groups, and monodromy in algebraic structures. Education: Ph.D. in Mathematics, University of Wisconsin-Madison Bachelor’s in Mathematics, Peking University Research interests emphasize algebraic number theory, arithmetic geometry, and group theory. His recent work explores the statistical properties of Galois extensions and cohomological structures in number fields. He has published in top-tier journals like Inventiones Mathematicae and Algebra and Number Theory . Grants and Awards: NSF Grant DMS-2200541 (current research support)

• Algebraic Topology
• Algebraic K-Theory
• p-adic Arithmetic Geometry
• +4 more

Akhil Mathew is an Associate Professor in the Department of Mathematics at the University of Chicago. He completed his PhD at Harvard University under Jacob Lurie in 2017. His research focuses on algebraic topology, algebraic K-theory, and p-adic arithmetic geometry, with contributions to prismatic cohomology and derived algebraic geometry. He organizes workshops like the Workshop on p-adic Geometry and contributes to editorial boards of Compositio Mathematica and Nagoya Mathematical Journal . Teaching includes advanced courses such as Honors Basic Algebra III and topics in commutative algebra. His work bridges homotopy theory and arithmetic geometry, with recent collaborations on syntomic complexes and étale cohomology. Education: PhD in Mathematics (2017), Harvard University Research Interests: Homotopy theory, arithmetic geometry, prismatic cohomology Recent Activities: Organized 2024 p-adic Geometry workshop; co-authored papers on syntomic complexes and K-theory Teaching Highlights: Courses include Algebra II, Honors Basic Algebra, and special topics in condensed mathematics. His lectures and seminars on geometric Langlands and derived algebraic geometry are widely recognized.

Ján MináčView profile

Professor

• Algebraic Number Theory
• Galois Cohomology
• Quadratic Forms
• +6 more

Ján Mináč is a Professor in the Department of Mathematics at Western University, cross-appointed in the Computer Science Department and affiliated with the Brain and Mind Institute. He is a Fellow of the Canadian Mathematical Society (2019), a Faculty of Science Distinguished Research Professor (2004–2005 and 2020–2021), and an Inaugural Fellow of the Western Academy for Advanced Research (2022–23). His research focuses on Galois cohomology, algebraic number theory, and interdisciplinary applications to neuroscience, including the 'Mathematics of Neural Networks' project. He has organized and participated in major conferences, such as the 2024 Workshop on Galois Cohomology and Massey Products in Ottawa. His teaching excellence has been recognized with awards, including the Canadian Mathematical Society Excellence in Teaching Award (2013). He serves on Western University’s Senate (2020–2024) and collaborates widely, co-supervising students and postdoctoral fellows in interdisciplinary teams. Key research interests include Massey products, profinite groups, and Koszul algebras in Galois cohomology. His work bridges pure mathematics with applications in neuroscience, leveraging collaborations across departments and institutions. Recent interdisciplinary efforts involve computational neuroscience and the Western Academy’s initiatives. Awards: CMS Fellow 2019, Distinguished Research Professorships (2004-05, 2020-21), Teaching Excellence Awards (2013, 2009-10, 1996-97). Grants and Collaborations: Supported by Fields Institute, Pacific Institute for the Mathematical Sciences, and collaborations with researchers like Lyle Muller and Maria Chudnovsky. Labs/Teams: Muller Lab, Western Academy for Advanced Research, and interdisciplinary groups at the Brain and Mind Institute.

Gregory G. SmithView profile

Professor

• Algebraic Geometry
• Commutative Algebra
• Symbolic Computation
• +2 more

Summary Gregory G. Smith is a Professor in the Department of Mathematics and Statistics at Queen's University. His research focuses on algebraic geometry, commutative algebra, and symbolic computation, with applications to optimization and combinatorics. He holds a PhD from the University of California, Berkeley, and has held visiting positions at institutions like Caltech and the American Institute of Mathematics. His awards include the Coxeter–James Prize and the André–Aisenstadt Prize. He has advised several graduate students, including Asha Zotine, Benjamin Hersey, and Andrew Staal. Smith is actively involved in teaching advanced undergraduate and graduate courses, such as Rings and Fields, Algebraic Geometry, and Computational Algebra. He has contributed to the development of software like Macaulay2 and frequently participates in international conferences and workshops. Education: Ph.D., University of California, Berkeley M.A., Brandeis University B.ScH, Queen's University Research Interests: Positivity in geometric structures, Hilbert schemes, vector bundles, computational algebra, and combinatorial algebraic geometry. Awards: NSERC Discovery Grants, Fellow of the Canadian Mathematical Society, Knut and Alice Wallenberg Foundation Visiting Professorship. Teaching: Core courses in algebra, linear algebra, and specialized topics like enumerative combinatorics and Galois theory. Students: Current advisee Julia McClellan (PhD); past students include Owen Ren (PhD 2018), Adam McCabe (MSc 2011).