جستجوی استاد راهنمای دانشگاهی

• Algebraic Number Theory
• Modular Forms
• Galois Representations
• +۳ مورد دیگر

Jaclyn Lang is the Selma Lee Bloch Brown Assistant Professor of Mathematics at Temple University. Her research centers on algebraic number theory, focusing on modular forms, Galois representations, elliptic curves, motives, and p-adic methods. Education: Ph.D. in Mathematics, UCLA (2016), advised by Haruzo Hida Part III of the Mathematical Tripos, University of Cambridge (2010), supervised by Tom Fisher MA in Mathematics, Bryn Mawr College (2009), supervised by Helen Grundman Research Interests: She works on advanced problems in number theory, including the Eisenstein ideal, pseudorepresentations, and arithmetic geometry of elliptic curves. Her work often bridges algebraic geometry and automorphic forms using p-adic techniques. Scientific Awards: Churchill Scholarship (2009–2010) Clare Booth Luce Scholarship (2007–2009) NSF Graduate Research Fellowship (2010–2015) Charles E. and Sue K. Young Graduate Student Award (2015) NSF Mathematical Sciences Postdoctoral Research Fellowship (2016–2020) AWM Travel Grant (2023) Fulbright U.S. Student Program Grant (2016) Simons Travel Support for Mathematicians (2023–2028) Grants: She has received NSF Standard Grant DMS-331117 (2023–2026) and participated in programs like the Park City Math Institute and Women in Numbers Europe (WINE3).

Eva Viehmannمشاهده پروفایل

استاد

• Arithmetic Geometry
• Representation Theory
• Algebraic Geometry
• +۴ مورد دیگر

Prof. Dr. Eva Viehmann is a leading mathematician at the University of Münster within the Faculty of Mathematics and Computer Science and a key figure in the Mathematics Münster cluster. She was awarded the prestigious Gottfried Wilhelm Leibniz Prize 2024 for her groundbreaking work in arithmetic algebraic geometry and representation theory within the Langlands program . University: University of Münster Department: Mathematical Institute Her research focuses on the intersection of algebra , geometry , and analysis , particularly through the lens of Shimura varieties and moduli spaces of local G-shtukas . She has pioneered the study of affine Deligne-Lusztig varieties in equal and mixed characteristics, advancing understanding of their dimension , connectedness , and irreducible components . Recent publications highlight her work on Newton stratification , Harder-Narasimhan theory , and p-adic moduli spaces . Her scientific advisory contributions include mentoring former doctoral student Stefania Trentin and collaborating with Prof. Urs Hartl over 15 years. Awards and honors include the Leibniz Prize 2024 , reflecting her status as a trailblazer in arithmetic geometry and p-adic geometry . Her research projects span the CRC 1442 and EXC 2044 , aiming to unify Galois representations , automorphic forms , and geometric methods .

Karin Melnickمشاهده پروفایل

استاد

• Differential Geometry
• Rigidity Theory
• Lorentzian Geometry
• +۴ مورد دیگر

Karin Melnick is a Full Professor in Mathematics at the University of Luxembourg, Faculty of Science, Technology and Medicine, Department of Mathematics. She heads the research group Group Actions, Geometric Structures, and Smooth Dynamics . Previously, she held positions at the University of Maryland (2009–2023), where she advanced from Assistant Professor to Professor and Associate Chair for Faculty Affairs, and at Yale University (2006–2009). Education: PhD and Master's degrees from the University of Chicago Research Interests: Her work spans differential-geometric rigidity, Lorentzian geometry, conformal pseudo-Riemannian structures, parabolic Cartan geometries, and smooth dynamical systems. She investigates symmetries of geometric structures, classification of manifolds with prescribed curvature properties, and dynamics of group actions on differentiable manifolds. Publications: Melnick's 15 most recent articles (2011–2025) predominantly explore rigidity phenomena in geometric structures, conformal/Lorentzian geometry, and dynamical systems. Key themes include automorphism groups of parabolic geometries, embedding theorems for tractor bundles, non-existence results for quasihomogeneous metrics, and applications of Frobenius-type theorems to Cartan geometries. Academic Leadership: She organizes major conferences including the upcoming BeNeLux Mathematical Congress (2026) and Lorentzian, Affine, and Hyperbolic Geometry: In Memory of Todd Drumm (2025). She frequently delivers invited talks at institutions like IHES Paris, Isaac Newton Institute, and Universität Hamburg. Teaching: Currently instructs Géométrie des courbes et des surfaces (Summer 2025).

• Set Theory
• Mathematical Logic
• Forcing
• +۷ مورد دیگر

Vera Fischer is an Associate Professor and Privatdozent in the Department of Mathematics at the Faculty of Mathematics, University of Vienna. She has been an active researcher since 2008, with a strong publication record in mathematical logic and set theory. Her research centers on set-theoretic combinatorics , focusing on cardinal characteristics of the continuum, forcing, definability, and structures such as maximal almost disjoint families, cofinitary groups, and independent families. She investigates foundational questions in independence, spectra of combinatorial objects, and the interplay between definability and generic extensions. Her work often involves constructing models to separate cardinal invariants or to realize specific spectra under forcing. The recent publications show a consistent trend in combinatorial set theory , with a focus on tower spectra, tight families, mad families, and their behavior under various forcing notions like Cohen and Sacks forcing. Her research frequently explores the definability and destructibility of combinatorial families, often in collaboration with leading researchers such as Corey B. Switzer, Stefan Geschke, and Saharon Shelah. FWF START Prize, 2017 Förderungspreis der ÖMG, 2018 Förderungspreis, 2018 She leads and participates in research projects such as Comparing the Real Line to Combinatorics of the Uncountable and A Sacks-like model with large continuum , indicating active grant funding and supervision of research activities. She also organizes academic events like Colloquium Logicum and engages in public outreach on topics like infinity. Her research is conducted within the Set Theory Group at the University of Vienna, where she collaborates with other logicians and contributes to the academic community through publications, conferences, and mentorship.

Olga Kharlampovichمشاهده پروفایل

استاد

• Group Theory
• Algebra
• Geometric Group Theory
• +۳ مورد دیگر

Olga Kharlampovich is a Professor at the City University of New York (CUNY), affiliated with Hunter College and the Graduate Center. She specializes in group theory and geometric group theory, with a focus on group actions on trees, Bass-Serre theory, and related algebraic structures. She taught a mini course titled 'Groups acting on trees' in May 2021, covering topics such as R-trees, Λ-trees, and structural theorems for groups acting on trees. The course was delivered virtually and included lectures on amalgamated products, HNN extensions, and applications to the elementary theory of free groups. Her research interests encompass geometric and combinatorial group theory, with contributions to Rips' theorem, ordered abelian groups, and the interplay between group actions and tree-like structures. She has collaborated on foundational papers exploring λ-trees and their role in algebraic topology and group theory. Access to her mini course was provided via Webex, with recordings available for the three lectures. The course was open to undergraduates, graduate students, faculty, and researchers interested in algebraic structures and geometric group theory.

Hannah Hogansonمشاهده پروفایل

پژوهشگر ارشد

• Geometric Group Theory
• Low Dimensional Topology
• Mapping Class Groups
• +۴ مورد دیگر

Hannah Hoganson is an NSF Postdoctoral Fellow in the Department of Mathematics at the University of Maryland, mentored by Christian Rosendal after previously holding a Brin Postdoctoral Fellowship under Lei Chen. Her research bridges geometric group theory, low-dimensional topology, and descriptive set theory, with a focus on mapping class groups of infinite-type surfaces and topological groups. Her educational background includes a PhD from the University of Utah (2022) advised by Ken Bromberg, and prior graduate studies at Miami University where she investigated Thompson's groups. She has taught multiple calculus courses at UMD and the University of Utah, receiving exceptional student evaluations for her clarity and supportive teaching style. Hoganson's research explores the coarse geometry of mapping class groups, connections between topological groups and descriptive set theory, and geometric structures on infinite-type surfaces. Her work often combines algebraic, geometric, and topological methods to address fundamental questions about group actions and classification problems in low-dimensional topology. Her recent publications demonstrate a strong trend toward interdisciplinary approaches, integrating geometric group theory with descriptive set theory to analyze infinite-type mapping class groups and Polish groups. Key themes include geometric finiteness, coarse boundedness, and the interplay between algebraic structures and topological dynamics in infinite settings. NSF Postdoctoral Fellowship (DMS-2303365) Brin Postdoctoral Fellowship Hoganson has advised an undergraduate reading course in geometric group theory (Spring 2024) and served as a mentor for REU students at SUMSRI. Her current research is supported by NSF grant DMS-2303365, which funds her postdoctoral work on geometric and topological aspects of infinite-type surfaces and groups. She actively collaborates with researchers including George Domat, Sanghoon Kwak, and Robbie Lyman across multiple projects. She co-organizes the University of Maryland Geometry and Topology Seminar and has co-led specialized workshops including the Big Mapping Class Groups log cabin workshop in Young, AZ (2024) and the AWM special session on Women in Groups, Geometry and Dynamics (2023), fostering collaborative research environments in geometric topology.

Thomas Lamمشاهده پروفایل

استاد

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +۵ مورد دیگر

Thomas Lam is a professor of mathematics at the University of Michigan , specializing in algebraic combinatorics, total positivity, and connections to mathematical physics. His work bridges cluster algebras, positive geometry, and integrable systems, with applications to scattering amplitudes in quantum field theory. Lam has collaborated extensively with physicists such as Nima Arkani-Hamed and mathematicians like Pavlo Pylyavskyy and Mark Shimozono. Key research areas: Cluster algebras, total positivity, electrical networks, positroid varieties, and quantum cohomology. Notable contributions: Defining polypositroids, proving regularity theorems for totally nonnegative flag varieties, and establishing cluster structures in braid varieties. Recent work focuses on positive geometries , including the amplituhedron and moduli spaces of points on projective lines, with implications for particle physics. His articles often explore dual graded graphs, K-theoretic Schubert calculus, and the interplay between combinatorics and algebraic structures. Lam's research has been supported by NSF grants, including DMS-0748636 and DMS-1249708 .

• Number Theory
• Modular Forms
• Galois Representations
• +۵ مورد دیگر

Haruzo HIDA is a Distinguished Research Professor of Mathematics at the University of California, Los Angeles (UCLA). His work spans advanced topics in Number Theory, Modular Forms, Galois Representations, and Arithmetic Geometry. HIDA has held significant positions globally, including lectures and research visits at institutions in India, China, Japan, and Europe. University: University of California, Los Angeles Department: Mathematics Academic Rank: Research Professor Research Interests: HIDA’s research focuses on complex and p-adic Number Theory, Modular Forms, and their connections to Galois Representations, Iwasawa Theory, L-functions, and Automorphic Forms. His recent work addresses adjoint L-values, Selmer groups, and the interplay between arithmetic invariants and geometric structures. Publications: HIDA’s recent articles (2014-2025) explore themes like Hecke algebras, anticyclotomic Iwasawa theory, Tate-Shafarevich groups, and p-adic rigidity. His work often bridges modular forms with arithmetic geometry and automorphic representations. Students: He has supervised numerous PhD students, including Koji Kitagawa, Chandrashekhar Khare, Eknath Ghate, Ashay Burungale, and Jaclyn Lang, contributing to their research in topics like modular forms and arithmetic geometry. Grants: His research has been partially supported by NSF grants, documented across multiple publications and lecture notes.

Ana Caraianiمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Langlands Program
• +۳ مورد دیگر

Ana Caraiani is a Royal Society University Research Fellow and Professor in the Department of Mathematics at Imperial College London, specializing in Number Theory and Arithmetic Geometry. She is a member of the Number Theory group, focusing on the Langlands program, Shimura varieties, and p-adic Galois representations. Her work bridges arithmetic geometry and representation theory, with contributions to modularity lifting theorems, cohomology of Shimura varieties, and local-global compatibility in the Langlands program. Education: She earned a Ph.D. in Mathematics from Harvard University in 2012. She held positions as a Veblen Research Instructor (2013–2015) and Veblen Fellow (2015–2016) at the Institute for Advanced Study's School of Mathematics. Research Interests: Her research emphasizes the classical and p-adic Langlands programs, Shimura varieties, arithmetic geometry, and moduli stacks of Galois representations. Specific topics include vanishing theorems for cohomology, modularity of elliptic curves over CM fields, and applications of perfectoid spaces. Key Contributions: Caraiani has advanced the proof of modularity of elliptic curves over imaginary quadratic fields, established vanishing theorems for Shimura varieties with torsion coefficients, and contributed to the potential automorphy of Galois representations over CM fields. Her work links geometric approaches to arithmetic conjectures, such as the Sato-Tate and Ramanujan conjectures. Awards and Recognition: Royal Society University Research Fellowship (202?), Veblen Research Instructor/Fellowships (2013–2016), and contributions to major collaborative projects like the Potential Automorphy over CM Fields paper in the Annals of Mathematics.

Henri Darmonمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Elliptic Curves
• +۳ مورد دیگر

Henri Darmon is a Distinguished James McGill Professor in the Department of Mathematics and Statistics at McGill University, affiliated with the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA) and the Centre de Recherches Mathématiques (CRM). He holds citizenships of Canada, France, and Switzerland. His research focuses on algebraic number theory, particularly elliptic curves, modular forms, and L-functions, with contributions to the Birch and Swinnerton-Dyer conjecture and Stark conjectures. Education: B.Sc. Mathematics & Computer Science, McGill University (1987) Ph.D. Mathematics, Harvard University (1991) Key Positions: Director of CICMA (1998–2024) Editorial roles at journals like Commentarii Mathematici Helvetici and Transactions of the AMS Organizer of major conferences including CNTA, ICM satellite events, and thematic programs at MSRI and CRM Research Interests: Stark-Heegner points and Euler systems p-adic L-functions and Iwasawa theory Arithmetic of modular curves and Shimura varieties His work bridges analytic and algebraic approaches to number theory, emphasizing computational and geometric methods.

• Algebraic Geometry
• Algebraic Surfaces
• Moduli Spaces
• +۲ مورد دیگر

Makoto Enokizono is an Assistant Professor at the Graduate School of Mathematical Sciences, University of Tokyo, specializing in Algebraic Geometry. His research centers on algebraic surfaces, moduli spaces, and their degenerations, with a focus on numerical invariants and intersection theory. Current research themes include algebraic curves and surfaces, moduli space structures, and positive-characteristic geometry. Key trends in his publications address Zariski decompositions, vanishing theorems, cohomology of Hessenberg varieties, and Durfee-type inequalities for singularities. Scientific awards: The Mathematical Society of Japan

• Algebraic Geometry
• Symplectic Geometry
• Mathematical Physics
• +۱ مورد دیگر

Kazushi Ueda is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, where he has been since April 2015. His research spans algebraic geometry, symplectic geometry, and mathematical physics, with a focus on homological mirror symmetry and its applications to moduli spaces, Calabi-Yau manifolds, and singularities. He previously held academic positions at Osaka University from 2006 to 2015, including roles as Assistant Professor and Associate Professor. Ueda has also had visiting appointments at institutions such as the University of Oxford, Max Planck Institute for Mathematics, and Korea Institute for Advanced Study. Bachelor of Science, Kyoto University (1997-2001) Master of Science, Kyoto University (2001-2003) Doctor of Science, Kyoto University (2003-2006) Ueda's research explores the deep interplay between complex and symplectic geometry through mirror symmetry, particularly in the context of Calabi-Yau varieties, toric degenerations, and dimer models. His work addresses derived categories, stability conditions, and moduli problems, with recent contributions to noncommutative algebraic geometry and applications in mathematical physics. He has collaborated extensively with researchers like Akira Ishii, Masahiro Futaki, and Shinnosuke Okawa. His publications highlight homological mirror symmetry for K3 surfaces, Grassmannians, and singularities, as well as studies on modular forms, cluster transformations, and the Grothendieck ring. Ueda is a member of the Mathematical Society of Japan and has contributed to educational programs, including graduate lectures on mirror symmetry and symplectic geometry.

David Rohrlichمشاهده پروفایل

استاد

• Number Theory
• Algebraic Number Theory
• Arithmetic Geometry
• +۳ مورد دیگر

David Rohrlich is a Professor of Mathematics and Statistics at Boston University, serving as Director of Graduate Studies. His primary affiliation is with the Department of Mathematics and Statistics. He specializes in Number Theory, focusing on topics such as Artin representations, arithmetic statistics, and Galois theory. His research explores areas including algebraic number theory, arithmetic geometry, and representation theory. Notable contributions include studies on self-dual Artin representations, quaternionic structures in arithmetic statistics, and the interplay between Galois representations and L-functions. Rohrlich has published extensively on topics such as Mordell-Weil groups, average multiplicities, and dihedral Artin representations. His work often involves intricate connections between algebraic structures and number-theoretic phenomena. He holds a PhD and has advised numerous graduate students (though specific names are not listed here). His office is located in CDS 433, with regular in-person and virtual office hours.

David Savittمشاهده پروفایل

استاد

• Algebraic Number Theory
• Galois Representations
• Modular Forms
• +۳ مورد دیگر

David Savitt is a Professor and Chair of the Department of Mathematics at Johns Hopkins University, affiliated with the Krieger School of Arts & Sciences. His research focuses on algebraic number theory, with emphasis on Galois representations, modular forms, and p-adic Hodge theory. He holds a PhD from Harvard University and has served on the board of directors for Canada/USA Mathcamp, a summer program for high school students. His work spans theoretical contributions to arithmetic geometry, including studies on moduli stacks of Galois representations and geometric aspects of the p-adic Langlands program. Education: PhD in Mathematics from Harvard University. Research interests include the interplay between Galois representations and modular forms, p-adic Hodge theory, and moduli spaces. His recent work explores geometric structures in the Emerton-Gee stack and the Breuil-Mézard conjecture. Over 20 years of research has produced influential papers on topics like Serre weight conjectures and crystalline lifts of Galois representations. Professional contributions include editorial roles for journals and books, such as co-editing p-adic Geometry: Lectures from the 2007 Arizona Winter School . His involvement with Mathcamp highlights his dedication to nurturing young talent in mathematics.

Yulan Qingمشاهده پروفایل

استادیار

• Low-Dimensional Topology
• Geometric Group Theory
• Asymptotic Properties of Groups
• +۴ مورد دیگر

Yulan Qing is an Assistant Professor in the Department of Mathematics at the University of Tennessee, Knoxville (UTK), part of the College of Arts and Sciences. She holds a Ph.D. in Mathematics from Tufts University. Her research focuses on low-dimensional topology, geometric group theory, asymptotic properties of groups, and big mapping class groups. Notable projects include studies on Gromov boundaries, genericity in groups, and curve graphs. She has published extensively in journals like Geometry & Topology and the Journal of the London Mathematical Society. Dr. Qing has organized conferences such as the 53rd Barrett Memorial Lectures and the GGTea Webinar, fostering collaboration in geometric group theory. She has taught courses like Honors Topology at UTK and supervised graduate students including Sagnik Jana and Alex Squires. Her work bridges theoretical foundations with applications in topology and geometry. Recent invited talks include presentations at the University of Virginia, Caltech, and the 2nd China-Russia Conference on Topology. She actively mentors undergraduate and graduate students, contributing to initiatives like the Math Circle programs at Tufts and MIT's RSI Summer Program.