David Grant is Professor of Mathematics at the University of Colorado Boulder with research spanning number theory, arithmetic geometry, and coding theory. His work connects abstract mathematical structures with practical applications in information science. Research focuses on algebraic approaches to number theory including quadratic forms, elliptic curves, and arithmetic properties of algebraic varieties. Current investigations include p-adic sigma functions, higher-dimensional coding theory, and generalizations of classical formulas like Jacobi's derivative formula to higher dimensions. Significant publications include work on theta functions, formal groups, and space-time codes. Recent projects explore differential codes using Grothendieck's residue symbol and universal p-adic functions.
Su-ion Ih is Associate Professor of Mathematics at University of Colorado Boulder, specializing in number theory and arithmetic geometry. He obtained his PhD from Brown University in 2000. Research interests include: Distribution of algebraic points on varieties Arithmetic dynamics and p-adic systems Equidistribution theorems Algebraic torus structures Publications focus on arithmetic properties of dynamical systems, with recent work on p-adic moduli spaces and integral division points.
Daniel S. Sage is a Professor in the Department of Mathematics at Louisiana State University, Baton Rouge. He earned his A.B. summa cum laude in Mathematics from Harvard University (1989), followed by S.M. (1990) and Ph.D. (1995) in Mathematics from the University of Chicago. His professional experience includes positions at the University of Utah, Institute for Advanced Study (Princeton), Max Planck Institute for Mathematics, University of Paris VII, University of Zurich, Courant Institute, and Mathematical Sciences Research Institute. His research focuses on: The geometric Langlands program Geometric and combinatorial methods in representation theory Hopf algebras and quantum groups Composite materials and the G-closure problem His recent publications (2011-2020) show strong emphasis on geometric representation theory, moduli spaces, quantum algebras, and differential systems, with consistent applications of algebraic geometry to problems in mathematical physics and Lie theory. Awards and Honors: Ethel Raybould Visiting Fellow, University of Queensland (2017)
Kemal Rose is a Postdoctoral researcher at KTH Royal Institute of Technology in Sweden, mentored by professor Sandra di Rocco. He holds a PhD from the Max Planck Institute for Mathematics in the Sciences (Leipzig), advised by Simon Telen and Bernd Sturmfels. His research focuses on algebraic geometry and optimization, with contributions to polynomial systems, tropical geometry, and computational methods in algebraic geometry. Key research themes include certification of polynomial system zeros, p-adic and real cubic surfaces, polyhedral homotopy algorithms, and the algebraic degree of sparse optimization problems. His work bridges theoretical mathematics with practical computational tools, emphasizing interdisciplinary applications in symbolic computation and geometric modeling. Publications span topics such as tropical implicitization, polyhedral-type analysis, and toric geometry. Current research trends reflect a focus on leveraging algebraic methods to solve high-dimensional optimization problems with sparse structures. No scientific awards or grants are explicitly listed in the provided materials. His academic advising history is not detailed here.
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.
Heejong Lee is a Golomb Visiting Assistant Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. His research focuses on advanced topics in number theory, algebraic geometry, and tropical geometry with applications to representation theory and arithmetic geometry. His recent work includes studies on Emerton–Gee stacks, Serre weights, and local-global compatibility in the context of Galois representations and modular forms. Earlier contributions explored tropical geometry, particularly bitangents of non-smooth tropical quartics. No scientific awards or grants are explicitly listed in the provided information. He does not currently have a documented list of advisees or students.
K. İlhan İkeda is a Full Professor at Boğaziçi University's Department of Mathematics and a researcher at the Feza Gürsey Center for Physics and Mathematics. He teaches courses ranging from foundational mathematics to advanced topics like p-adic geometry and motives. Research Interests: Algebraic Number Theory Automorphic Forms Representation Theory Langlands Functoriality Perfectoid Spaces Non-Commutative Motives His work explores connections between geometric and arithmetic Langlands programs, higher-dimensional class field theory, and applications to condensed mathematics and topological quantum field theory.
Fedor Bogomolov is a Professor of Mathematics at the Courant Institute, New York University since 1994, and also holds a professorship at the Laboratory of Algebraic Geometry, Higher School of Economics in Moscow since 2010. His academic career began at the Steklov Mathematics Institute where he progressed from Junior Researcher (1974-1983) to Senior Researcher (1983-1987) and then Leading Researcher (1987-1994). Dr. Bogomolov's research spans multiple areas of mathematics with particular focus on Algebraic Geometry, Symplectic Geometry, and Arithmetic Geometry. His work encompasses representation theory (l-adic representations, invariant theory, equivariant geometry), arithmetic geometry (rationality points, K3 surfaces, elliptic curves), and algebraic geometry (Kaehler manifolds, holomorphic symplectic varieties, vector bundles, rationality). His research has established fundamental theorems across these interconnected fields. His publication record includes over 100 papers with consistent high-impact contributions from 1974 through 2011. The publications demonstrate a progression from foundational work in complex geometry to more specialized research in arithmetic aspects of algebraic geometry. His most recent works focus on rational curves on K3 surfaces, reconstruction of function fields, and hyperelliptic Szpiro inequality, showing his continued engagement with cutting-edge problems in algebraic geometry. His scientific recognition includes invitations to deliver distinguished lectures at major international conferences, specifically an ICM lecture and a lecture at the Taniguchi conference. ICM lecture Taniguchi conference lecture Professor Bogomolov has trained 20 PhD students, including notable mathematicians Bruno di Oliveira and Paolo Cascini who now hold faculty positions at top universities. He has served on editorial boards of leading journals including Annals of Mathematics and Geometric and Functional Analysis, and currently serves as editor-in-chief of the European Journal of Mathematics. His academic service also includes editing six books in his field of expertise.
Wiesława Nizioł is a distinguished mathematician currently serving as Directrice de Recherche at CNRS, affiliated with the Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG) at Sorbonne University. Her career spans prestigious institutions including the University of Utah, ENS-Lyon, Harvard University, and Princeton University. Education Ph.D. in Mathematics, Princeton University (1991), advisor: Gerd Faltings M.Sc. summa cum laude in Computer Science, Warsaw University (1984) Her research focuses on advanced mathematical theories such as K-theory, cohomology theories, p-adic Hodge theory, and arithmetic algebraic geometry. She has held visiting positions at institutions like the Newton Institute, MSRI, and IAS, Princeton. Notable awards include the Aisenstadt Chair (2020), Sloan Fellowship (1998-2001), and recognition for her master thesis (1984). She has contributed extensively to academic discourse through her temporary roles at leading mathematical centers worldwide.
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.
Waqar Ali Shah is a Visiting Assistant Professor in the Department of Mathematics at the University of California, Santa Barbara (UCSB) . He previously held a visiting position at the Mathematical Sciences Research Institute (MSRI) in 2023. Educational Background: PhD in Mathematics, Harvard University (2022) MMath/MASt in Mathematics, Trinity College, Cambridge (2017) Bachelor of Science in Mathematics, Lahore University of Management Sciences (2016) Research Focus: Shah’s work centers on arithmetic geometry and number theory , with a particular emphasis on Euler systems and their connections to p-adic L-functions . His research also explores topics such as modular forms, Shimura varieties, and cohomology theories in algebraic geometry. Key Contributions: Shah has published in leading journals including Proceedings of the London Mathematical Society and Algebraic Combinatorics . His recent work includes studies on norm relations in cohomology, zeta elements for Shimura varieties, and applications of Euler systems to unitary groups. Awards & Honors: No explicit awards mentioned in the provided materials. Professional Activities: Active in academic collaborations, including joint work with Andrew Graham on anticyclotomic Euler systems. Maintains a presence on platforms like arXiv and zbMATH .
Alexander Bertoloni Meli is an Assistant Professor at Boston University's Department of Mathematics and Statistics. His research focuses on Number Theory, Representation Theory, and the Langlands Program, with particular interest in the geometry and representation theory of reductive groups. He holds a PhD from UC Berkeley (2020), advised by Sug Woo Shin, and previously served as a postdoc at the University of Bonn (with Jessica Fintzen) and the University of Michigan (with Tasho Kaletha). His work explores connections between the Langlands program and Shimura varieties, often involving advanced techniques in algebraic geometry and p-adic representation theory. Key contributions include studies on the Fargues-Scholze correspondence, B(G)-parametrization of Langlands correspondence, and cohomology of Rapoport-Zink spaces. He actively collaborates with researchers like Teruhisa Koshikawa, Masao Oi, and Alex Youcis. Bertoloni Meli is affiliated with Boston University's Computing and Data Sciences (CDS) office (room 510). Beyond academia, he supports educational initiatives like the Ypsilanti Math Corps and previously mentored in UC Berkeley’s Directed Reading Program.
Robert Pollack is a Professor of Mathematics at Boston University, affiliated with the Department of Mathematics and Statistics . His research focuses on Number Theory , particularly Iwasawa theory , elliptic curves , p-adic L-functions , and modular forms . He has contributed to foundational work on the arithmetic properties of modular forms and their connections to Galois representations. Pollack collaborates widely, with notable co-authors including Matthew Emerton, Henri Darmon, and Tom Weston. His work emphasizes computational methods, such as overconvergent modular symbols, to explore deep conjectures in arithmetic geometry. Research interests span supersingular elliptic curves , μ-invariants , and critical slope p-adic L-functions . He maintains an active webpage with resources on Iwasawa invariants and software tools for computations. Pollack has also engaged in interdisciplinary projects, including a film role in documentaries about mathematics education and a cameo in the film Proof . His publications (e.g., New phenomena arising from ℒ-invariants , Iwasawa invariants in Hida families ) reflect a focus on advancing theoretical frameworks while maintaining computational rigor. Despite his extensive contributions, no specific awards are listed in the provided texts.
Glenn Stevens is a Professor of Mathematics at Boston University and the Director and Founder of the PROMYS program. He is affiliated with the Department of Mathematics and Statistics, specializing in Number Theory with a focus on Iwasawa theory, elliptic curves, and p-adic L-functions. His research also involves modular forms and Galois representations. His academic roles include leading the Boston University Number Theory seminar and directing PROMYS, PROMYS Europe, and related initiatives such as PROMYS India and PROMYS for Teachers. Stevens' work emphasizes both theoretical research and educational outreach in mathematics. Key research themes include overconvergent modular symbols, p-adic deformations, and connections between arithmetic cohomology and modular forms. His contributions span foundational studies in arithmetic geometry and computational experiments in p-adic modular forms. He has been actively involved in fostering mathematical talent through programs like PROMYS, which aim to deepen students' exploration of mathematics and support teacher development in algebraic thinking.
Tom Weston is a Professor and Department Head in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. His research focuses on Number Theory, particularly the interplay between L-functions and Selmer groups, with contributions to Iwasawa theory, modular forms, and arithmetic geometry. He earned his S.B. from MIT (1996), and M.A. and Ph.D. from Harvard University (1997, 2000) under Barry Mazur. His educational background includes postdoctoral roles at the University of Michigan (2000-02), UC Berkeley (2002-03), and Amherst College (2003-04). Research interests span L-functions, elliptic curves, Galois representations, and deformation theory. He has advised multiple Ph.D. students and authored influential papers on topics like Selmer groups, Euler systems, and modular curves. Key publications include works on anticyclotomic μ-invariants, explicit reciprocity laws for modular forms, and diophantine stability for elliptic curves. His expository contributions cover topics from cobordism theory to the Banach-Tarski paradox. He is actively involved in teaching and mentoring, as highlighted by his award-winning pedagogy.
