Find Academic Supervisors

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

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).

Dimitra PsychogiouView profile

Professor

• Microwave Engineering
• RF Filters
• Millimeter-wave Technology
• +4 more

Dimitra Psychogiou is a Full Professor of Microwave Engineering at University College Cork and Principal Investigator at Tyndall National Institute's CONNECT Centre in Cork, Ireland. She leads the Advanced RF Technology Group, driving innovation in reconfigurable RF systems for next-generation wireless networks. Her academic credentials include: Dipl.-Eng. in Electrical and Computer Engineering, University of Patras (2008) Ph.D. in Electrical Engineering, ETH Zurich (2013) Prof. Psychogiou's research pioneers reconfigurable microwave filters , non-reciprocal RF components , and additive manufacturing for antenna systems . Her work bridges theoretical microwave engineering with practical implementations in 5G/6G front-ends, emphasizing sustainability through hyperflexible filtering architectures that reduce hardware complexity and energy consumption. Key innovations include acoustic-wave resonator filters and 3D-printed RF components enabling unprecedented miniaturization. Analysis of her 2022-2025 publications reveals a strategic shift toward multifunctional RF integration , where filtering coexists with isolation, amplification, and switching in single modules. This trend addresses critical industry needs for compact, software-defined radio front-ends in satellite communications and IoT networks, with increasing emphasis on reflectionless topologies and spatiotemporal modulation techniques. Her scientific recognition includes: 2023 MTT-S Outstanding Young Engineer Award 2021 Roberto Sorrentino Prize 2021 SFI Research Professorship 2020 NSF CAREER Award 2020 URSI Young Scientist Award UC Boulder Junior Faculty Research Award Prof. Psychogiou actively shapes her field through leadership roles as Chair of IEEE MTT-13 Committee and Secretary of USNC-URSI Commission D, while serving as Associate Editor for IEEE MWCL and IJMWT. Her group collaborates extensively with semiconductor foundries and wireless infrastructure companies to transition lab innovations to commercial applications. The Advanced RF Technology Group operates state-of-the-art facilities for GaAs MMIC prototyping, 3D-printed RF component fabrication, and full-wave electromagnetic characterization, supporting Ireland's strategic position in European telecommunications research.

Yiping LuView profile

Assistant Professor

• Machine Learning
• Scientific Machine Learning (AI4Science)
• Numerical Algorithms
• +7 more

Yiping Lu is an Assistant Professor in the Department of Industrial Engineering and Management Sciences at Northwestern University's McCormick School of Engineering. His research focuses on developing interdisciplinary approaches combining domain knowledge (differential equations, stochastic processes), machine learning, and experiments. Key interests include scientific machine learning (AI4Science), stochastic simulation, and robust machine learning. Education: Ph.D. in Applied and Computational Mathematics, Stanford University (2023) B.S. in Computational Mathematics, Peking University (2019) Research Highlights: Hybrid research integrating ML with scientific domains like PDEs and inverse problems Development of Physics-Informed Learning frameworks Contributions to deep learning theory (ResNets, neural collapse) Advances in kernel operator learning and adversarial robustness Awards: CPAL Rising Star Award (2024) University of Chicago Data Science Rising Star (2022) Stanford Interdisciplinary Graduate Fellowship (2021) Labs/Teams: SCALE Lab (Scientific Computation and Learning at Northwestern) Collaborations with NYU's Courant Institute and Stanford

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

Prof. Dr. Philipp Habegger is a faculty member at the University of Basel's Department of Mathematics and Computer Science . His research focuses on Number Theory , specifically Diophantine Geometry, heights on abelian varieties, unlikely intersections, and algebraic number theory. He leads the Research Group in Number Theory and participates in collaborative seminars like the Number Theory Web Seminar with Mike Bennett and Alina Ostafe. Contact : philipp.habegger@unibas.ch | +41 61 207 26 98 Office : Spiegelgasse 1, 4051 Basel, Switzerland Academic Role : Research and teaching in number theory and Diophantine problems Research Overview Habegger's work addresses fundamental questions about the distribution of special points on algebraic varieties and the arithmetic properties of polynomial dynamics. His recent publications analyze degeneracy loci in abelian families, canonical heights, and the geometric Bogomolov conjecture. The 15 most recent articles reflect a focus on number theory, algebraic geometry, and effective bounds in Diophantine problems. Scientific Collaborations Collaborated with Ziyang Gao, Harry Schmidt, Umberto Zannier, and others Contributed to journals: Annals of Mathematics , Forum of Mathematics, Sigma , Compositio Mathematica Key themes: Abelian varieties , Heights , Unlikely intersections , CM jacobians

• Dynamical systems
• Arithmetic geometry
• Complex analysis
• +3 more

Laura DeMarco is a Professor of Mathematics at Harvard University and holds the Radcliffe Alumnae Professorship at the Radcliffe Institute for Advanced Study. She is affiliated with the Department of Mathematics at Harvard's Science Center (Office 337). Her research focuses on dynamical systems, arithmetic geometry, and complex analysis, with a particular emphasis on algebraic dynamics and the interplay between geometry and number theory. DeMarco earned her Ph.D. in Mathematics from Harvard University in 2002, with a thesis on holomorphic families of rational maps. Her work explores topics such as preperiodic points, moduli spaces of dynamical systems, and arithmetic equidistribution. She has organized events like the Algebraic Dynamics Seminar and participates in conferences worldwide, including the 2025 Diophantine approximation conference in France. Her research publications analyze geometric and arithmetic properties of dynamical systems, such as the geometry of preperiodic points, bifurcation measures, and the classification of polynomial basins of infinity. Her studies often bridge algebraic geometry, complex dynamics, and number theory, contributing to foundational questions in arithmetic dynamics. DeMarco has collaborated extensively with researchers like N. M. Mavraki, H. Krieger, and X. Wang, advancing topics like bounded geometry in dynamical families and uniform results in the Manin-Mumford conjecture. Her work has been published in leading journals such as the Annals of Mathematics, Compositio Mathematica, and the Journal of the European Mathematical Society.

David JerisonView profile

Professor

• Fourier analysis
• partial differential equations
• free boundary problems
• +2 more

David Jerison is a Professor of Mathematics at the Massachusetts Institute of Technology (MIT), where he conducts research in Fourier analysis and partial differential equations. His work focuses primarily on free boundary problems and, more recently, on internal Diffusion Limited Aggregation (internal DLA), a stochastic growth model. He maintains an active research program with numerous publications in leading mathematical journals. Professor Jerison's research spans several interconnected areas of mathematical analysis. His primary interests include Fourier analysis and partial differential equations, with particular emphasis on free boundary problems. In recent years, he has expanded his research to include internal Diffusion Limited Aggregation, a stochastic growth model that has connections to probability theory and mathematical physics. His work often bridges geometric analysis, spectral theory, and probabilistic methods, demonstrating the deep connections between different branches of mathematics. Analysis of Professor Jerison's recent publications reveals a consistent focus on geometric aspects of partial differential equations, particularly free boundary problems. His research shows progression from classical PDE theory toward more stochastic and probabilistic approaches, as evidenced by his work on internal DLA. The publications demonstrate interdisciplinary connections between mathematical analysis, probability theory, and mathematical physics, with applications ranging from geometric measure theory to quantum mechanics. Professor Jerison is actively involved in teaching and mentoring at MIT. He has taught courses including Differential Equations (18.03), Fourier Analysis and Applications (18.103), and Differential Analysis (18.155). He also directs the Summer Program for Undergraduate Research (SPUR), which is exclusively for MIT undergraduates, and organizes the mathematics section of the Research Science Institute (RSI) for high school students. His teaching materials are available through MIT's Open Courseware platform, indicating his commitment to educational outreach and accessibility.

• Number Theory
• Modular Forms
• Galois Representations
• +5 more

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.

Thomas LamView profile

Professor

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +5 more

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 .

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

Dr. Niranjan Ramachandran is a Professor of Mathematics at the University of Maryland, College Park, specializing in the deep structural connections between Arithmetic Geometry and Number Theory. His work centers on motives, zeta functions, and algebraic cycles, with significant contributions to foundational conjectures in modern mathematics. His primary research domains include: Arithmetic Geometry Algebraic Geometry Number Theory Motives Zeta Functions Cohomology K-theory Prof. Ramachandran's research explores the intricate relationships between algebraic cycles, special values of L-functions, and motivic cohomology, advancing understanding of the Birch and Swinnerton-Dyer conjecture, Artin-Tate conjecture, and higher Euler characteristics through innovative approaches to zeta functions and motivic complexes. Analysis of his 15 most recent publications reveals sustained focus on zeta function special values (2023), derived categories of elliptic curves (2022), and Artin-Tate conjecture proofs (2022), with recurring themes in fiber integration of gerbes (2020), higher Euler characteristics (2016), and motivic measure exponentiation (2014). His work consistently bridges abstract motivic frameworks with concrete arithmetic problems. No scientific awards were documented in the provided materials. Information regarding academic advising, Ph.D. students, or research grants was not specified in the available text.

Juha KinnunenView profile

Professor

• Mathematical Analysis
• Nonlinear Partial Differential Equations
• Harmonic Analysis
• +3 more

Juha Kinnunen is a Professor of Mathematics at Aalto University, affiliated with the Department of Mathematics and Systems Analysis within the School of Science. His primary research focuses on mathematical analysis, particularly nonlinear partial differential equations, harmonic analysis, and regularity theory in metric measure spaces. He holds a Ph.D. and has been an active researcher in areas such as degenerate and singular PDEs, parabolic equations, and functional inequalities. Affiliations: Aalto University, Department of Mathematics and Systems Analysis, School of Science Roles: Professor, Researcher in Analysis and Nonlinear PDEs His research emphasizes theoretical aspects of nonlinear PDEs, including regularity theory for singular/degenerate elliptic and parabolic equations, and applications in multiphase fluid dynamics and nonhomogeneous media. He has extensively studied methods involving harmonic analysis and has contributed to the understanding of reverse Hölder classes, Muckenhoupt weights, and maximal function approaches in metric measure spaces. Recent work includes studies on doubly nonlinear equations, mixed local/nonlocal operators, and the development of self-improving properties of weighted inequalities. Over 100 publications since 1994 highlight his contributions to fields like parabolic systems, quasiminimizers, and supercaloric functions.

Henri DarmonView profile

Professor

• Number Theory
• Algebraic Geometry
• Elliptic Curves
• +3 more

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.

Betsy StovallView profile

Professor

• Harmonic Analysis
• Fourier Analysis
• Partial Differential Equations
• +2 more

Betsy Stovall is a Professor of Mathematics at the University of Wisconsin–Madison and holds the Letters and Science Mary Herman Rubenstein Professor chair. She serves as the AMS Associate Secretary for the Central Section . Education : Not explicitly stated in provided text. Appointments : Regular faculty at UW–Madison since at least 2012 Organizer of graduate analysis seminars Research Interests : Stovall specializes in harmonic analysis , focusing on operators involving curvature, oscillatory integrals, and Fourier restriction phenomena. Her work intersects with partial differential equations (PDEs) through the study of dispersive equations and geometric analysis problems. Teaching : Complex Analysis (Math 623) - Fall 2021 Calculus III (Math 234) - Fall 2020 Graduate Analysis Seminar - Spring 2022 Organized UW Madison undergraduate summer school in Analysis (2018) Scientific Contributions : Sole or joint author of 15+ publications NSF RTG grant in Analysis and PDE Active in harmonic analysis seminars and educational initiatives Administrative Roles : AMS Associate Secretary Co-organizer of RTG/Student seminars Summer school director

• Algebraic Geometry
• Symplectic Geometry
• Mathematical Physics
• +1 more

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 RohrlichView profile

Professor

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

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.

Vladimir KazeevView profile

Assistant Professor

• Numerical Analysis
• Tensor Methods
• Partial Differential Equ to the data-driven solution of PDEs
• +3 more

Vladimir Kazeev is an Assistant Professor at the Faculty of Mathematics, University of Vienna , where he has held a faculty position since 2019. He also held previous academic appointments as a Szegő Assistant Professor at Stanford University (2017–2019), a postdoctoral researcher at the University of Geneva (2015–2017), and research positions at ETH Zurich (2011–2015), Russian Academy of Sciences (2008–2011), and Moscow Institute of Physics and Technology (2009). His research focuses on adaptive, data-driven numerical methods for differential equations, nonlinear low-parametric approximation, and numerical linear algebra. His work intersects computational mathematics, tensor methods, and high-dimensional problem-solving, particularly in the context of partial differential equations (PDEs) and stochastic modeling. The 15 most recent publications reveal a strong emphasis on quantized tensor-structured methods for PDEs, low-rank approximations, and high-dimensional numerical analysis. His research spans theoretical advancements in tensor decomposition, practical applications in chemical reaction networks, and novel discretization techniques for multiscale and degenerate diffusion problems. Scientific awards include the prestigious ETH Medal for outstanding doctoral theses (2016) Russian Academy of Sciences Medal for outstanding student works in mathematics (2011) Advising and teaching activities include supervising Jason Zhu (Stanford, 2019) and Simon Etter (ETH Zurich, 2014), as well as teaching advanced courses in tensor methods, numerical analysis, and PDEs at the University of Vienna, Stanford University, and the University of Geneva. His service to the community includes peer review for 15+ journals and co-organizing minisymposia at SIAM meetings.