Find Academic Supervisors

• Automorphic Forms
• Modular Forms
• Combinatorics
• +7 more

Karl Mahlburg was an Associate Professor in the Department of Mathematics at Louisiana State University from 2011 to 2021. He holds a Ph.D. in Mathematics from the University of Wisconsin-Madison, an M.S. in Mathematics, and a B.S. in Mathematics from Harvey Mudd College. His research focuses on automorphic forms, partition theory, combinatorial number theory, and nonstandard analysis. Research interests include: Theory of automorphic forms including modular forms and harmonic Maass forms Applications to partition theory and basic hypergeometric series Algebraic and finite combinatorics including graph theory Combinatorial probability and nonstandard analysis Dr. Mahlburg has received several prestigious awards including the Humboldt Foundation Fellowship, LSU Faculty Excellence Award, and PNAS Paper of the Year Award for his groundbreaking work on partition congruences. His research has been supported by NSF grants and Louisiana Board of Regents funding. He has advised numerous graduate and undergraduate students in mathematics research, with doctoral students pursuing careers in academia and industry. Dr. Mahlburg organized LSU's Problem-Solving Seminar for undergraduate mathematics competitions and served on multiple departmental committees.

Dorin AndricaView profile

Professor

• Critical Point Theory
• Nonlinear Analysis
• Approximation Theory
• +3 more

Dorin Andrica is a Professor at the Faculty of Mathematics and Computer Science at Babeș-Bolyai University in Cluj-Napoca, Romania. With a career spanning over three decades at the same institution, his work bridges multiple disciplines including Critical Point Theory , Nonlinear Analysis , Approximation Theory , and Number Theory , particularly focusing on Elementary Mathematics and Olympiad/Contest problems . PhD in Mathematics (Babeș-Bolyai University, 1992) Two decades of research grants, including the European Network 'Geometric Analysis' (2001–2004) and DAAD Fellowship (1993). His publications often explore Diophantine equations , prime gaps , and geometric inequalities , with notable contributions like Andrica's Conjecture — a famous unsolved problem in number theory. Recent works highlight dynamic geometry, cyclotomic polynomials, and advanced combinatorial identities, reflecting his interdisciplinary approach. Andrica has co-organized the European Summer School 'Spaces with singularities and monopols' (Cluj-Napoca, 1999) and serves on editorial boards of multiple journals, including Studia Univ. 'Babeș-Bolyai'-Mathematica and Gazeta Matematica . His Erdős number is 2.

Maryna ViazovskaView profile

Professor

• Sphere Packing
• Lattice Theory
• Modular Forms
• +3 more

Prof. Maryna Viazovska is a Full Professor and holds the Chair of Arithmetics at the Institute of Mathematics (EPFL SB MATH TN) at the École Polytechnique Fédérale de Lausanne (EPFL). She also serves as a Full Professor in the SMA-ENS division, part of the School of Basic Sciences (SB). Additionally, she leads the Theoretical Number Theory (TN) group , directs the MATH-GE unit, and is a member of the Bernoulli Center's Executive Committee (CIB) and the SB Faculty Board. Her roles reflect her leadership in both research and academic governance. Her research focuses on sphere packing , lattice theory , modular forms , and Fourier analysis . She is celebrated for solving the sphere packing problem in dimensions 8 and 24, a breakthrough integrating modular forms and harmonic analysis. Her work bridges number theory, discrete geometry, and mathematical physics, with implications for coding and cryptography. Prof. Viazovska has advised doctoral students including Matthias Gröbner Nihar Prakash Gargava Gauthier Leterrier Martin Peter Stoller Her teaching includes courses such as Discrete Mathematics , Riemann Surfaces , and Number Theory II.b - Modular Forms . She actively contributes to EPFL's academic infrastructure, including the Institute of Mathematics and the Bernoulli Center .

Sara LombardoView profile

Professor

• Integrable Systems
• Automorphic Lie Algebras
• Nonlinear Waves
• +4 more

Sara Lombardo is a Professor of Mathematics and Executive Dean of the School of Mathematical & Computer Sciences at Heriot-Watt University, UK. She holds visiting roles at Loughborough University, Sapienza University of Rome, and the Vrije Universiteit Amsterdam. A graduate of the University of Rome La Sapienza (MSc in Mathematical Physics) and Leeds University (PhD in Mathematics), her career includes positions at Leeds, Manchester, Rome, and Amsterdam before her current role. Her research focuses on integrable systems, automorphic Lie algebras, nonlinear waves, and rogue waves, supported by fellowships from EPSRC, NWO, and IRCSET. Research interests include infinite-dimensional algebras, nonlinear PDEs, and mathematical modeling. She advocates for interdisciplinary research and diversity in science. Awards include the Suffrage Science Award (2020) and Blanceflor Boncompagni Ludovisi Young Scientists Award (2003). Her work addresses fundamental problems in mathematical physics, with contributions to stability analysis of nonlinear waves, soliton theory, and spectral methods. Recent articles explore rogue wave dynamics, automorphic Lie algebra classification, and integrable wave models. She is a member of the Maxwell Institute for Mathematical Sciences and actively contributes to sustainable development goals through her research.

Michael LipnowskiView profile

Assistant Professor

• Number Theory
• Representation Theory
• Automorphic Forms
• +4 more

Michael Lipnowski is an Assistant Professor in the Department of Mathematics at Ohio State University. His research focuses on number theory, representation theory, automorphic forms, algebraic geometry, and differential geometry. He earned his Ph.D. under Akshay Venkatesh and has contributed to areas such as spectral gaps, hyperbolic manifolds, and arithmetic statistics. His work bridges pure mathematics disciplines with applications in geometric topology and mathematical physics. Research interests include the interplay between analytic and algebraic methods in number theory, spectral properties of geometric spaces, and the study of modular forms and their representations. Recent projects involve Seiberg-Witten equations on hyperbolic 3-manifolds, Cohen-Lenstra heuristics for class groups, and eigenvalue distributions in geometric contexts. His publications explore topics like monopole Floer homology, counting problems in moduli spaces, and torsion invariants under base change. Lipnowski collaborates actively with researchers such as Henri Darmon, Francesco Lin, and Jacob Tsimerman. His expository writings and computational tools further demonstrate his engagement with both theoretical and applied aspects of mathematics.

Gerard WattsView profile

Professor

• Theoretical Physics
• Conformal Field Theory
• Integrable Quantum Field Theory
• +3 more

Gerard Watts is a Professor of Theoretical Physics at King's College London, affiliated with the Department of Mathematics and the Faculty of Natural, Mathematical & Engineering Sciences. He earned his PhD from the University of Cambridge in 1990 under Peter Goddard. His research focuses on two-dimensional quantum field theory, particularly conformal field theory (CFT) and integrable systems. He has held postdoctoral positions at Durham, Montreal, and Paris, and joined King’s in 1996 via an EPSRC fellowship. Watts has organized numerous workshops, including the UK Integrable and Conformal Field Theory meetings. His grants include funding from EPSRC, the EU, Royal Society, and London Mathematical Society. He currently supervises two PhD students and has mentored five others previously. His work explores defects in CFT, boundary flows, and modular symmetry, with applications to non-equilibrium physics. He is a member of the Centre for Non-Equilibrium Science (CNES) and has contributed to advancing understanding of integrable models and their connections to string theory.

Anne TaorminaView profile

Professor

• Theoretical Particle Physics
• String Theory
• Mathematical Physics
• +5 more

Professor Anne Taormina is the Head of the Department of Mathematics at King’s College London and a Professor of Mathematical and Theoretical Particle Physics. She holds a PhD in Theoretical Particle Physics from Mons University (Belgium) and has held positions at institutions including CERN, the University of Chicago, and Durham University. Her research focuses on symmetry in physics, particularly the algebraic structures underlying symmetries in string theory and conformal field theory, with notable work on K3 surfaces and Mathieu moonshine. Education: Undergraduate degree in Mathematics (Mons University), PhD in Theoretical Particle Physics (Mons University). Postdoctoral research at École Normale Supérieure (Paris), CERN, and the University of Chicago. Served as Head of the Department of Mathematical Sciences at Durham University (2014–2018) before joining King’s College London in 2024. Research interests include the interplay of symmetry and particle physics, with emphasis on sporadic groups (e.g., Mathieu groups), BPS states, and K3 surfaces. Her work bridges string theory, algebraic geometry, and modular forms, aiming to unify fundamental forces. Recent publications explore topics like SU(2) symmetry in K3 BPS state cancellations and the Conway moonshine module. Professional service includes membership in the Institute of Physics and the London Mathematical Society (council member, 2018–2024). She advocates for inclusivity, collaboration, and excellence in academic environments, as highlighted in her interview about leading King’s Mathematics Department.

Yilong ZhangView profile

Visiting Assistant Professor

• Algebraic Geometry
• Hodge Theory
• Cubic Hypersurfaces
• +2 more

Yilong Zhang is a Golomb Visiting Assistant Professor of Mathematics at Purdue University's Department of Mathematics (College of Science). His mentor is Donu Arapura. He earned his PhD from The Ohio State University in 2022 under Herb Clemens. Starting Fall 2025, he will join the University of Georgia as a Limited Term Assistant Professor. Research focuses on algebraic geometry, particularly Hodge theory, cubic hypersurfaces, and algebraic varieties' topology. Notable works include studies on Hilbert schemes, Abel-Jacobi maps, and vanishing cycles. He organizes the Purdue Algebraic Geometry Seminar with Takumi Murayama and Deepam Patel. Recent travels include speaking at OSU's Arithmetics, K-theory conference (May 2025) and Notre Dame's Discrete Groups thematic program (June 2025). Teaching includes MA 265 Linear Algebra (Spring 2025). Mentoring activities include undergraduate REU programs, graduate reading courses on Riemann Surfaces, and problem-solving seminars. His notes cover topics like rationality of varieties and O-minimal Chow's theorem.

• Power Electronics
• Renewable Energy Systems
• Microgrids
• +2 more

Dr. Maysam Abbasi is a Research Fellow at Queensland University of Technology (QUT) in the School of Electrical Engineering & Robotics, Faculty of Engineering. His research focuses on power electronics, DC-DC converters, microgrids, and renewable energy systems integration. Dr. Abbasi holds a PhD from the University of Technology, Sydney, which forms the foundation of his expertise in power electronics and energy conversion systems. Dr. Abbasi's research interests span power electronics , particularly in the design and optimization of DC-DC converters for renewable energy applications. His work addresses critical challenges in voltage gain enhancement , voltage stress reduction , and power conversion efficiency . He has made significant contributions to transformer-less converter topologies, switched-capacitor circuits, and multilevel inverter designs. His research extends to microgrid optimization , where he develops bi-objective approaches for economic emission dispatch and explores communication systems and control methods for renewable-integrated microgrids. His work bridges theoretical innovation with practical applications in renewable energy integration and power system stability. Dr. Abbasi's publication record from 2019-2024 demonstrates a consistent research trajectory focused on power electronics and renewable energy systems. His work appears in high-impact journals including IEEE Transactions, IET Power Electronics, and Energies, with a particular emphasis on novel converter topologies and optimization techniques for renewable energy integration. As a Research Fellow, Dr. Abbasi likely supervises graduate students in electrical engineering, guiding research in power electronics and renewable energy systems. His collaborative work with researchers like E. Abbasi, L. Li, and others suggests active participation in research teams focused on power conversion and microgrid technologies. Dr. Abbasi's research is conducted within the School of Electrical Engineering & Robotics at QUT, which provides a collaborative environment for advancing power electronics research and its applications in renewable energy systems.

Robbert DijkgraafView profile

Professor

• String Theory
• Mathematical Physics
• Theoretical Physics
• +3 more

Robbert Dijkgraaf is the Director and Leon Levy Professor at the Institute for Advanced Study (IAS) in Princeton since 2012. Previously, he served as Distinguished University Professor of Mathematical Physics at the University of Amsterdam (2005–present) and held professorships there from 1992. He earned his PhD in physics from Utrecht University in 1989 under Gerhard 't Hooft. His research focuses on string theory and the interface between mathematics and physics. Education: B.Sc. Physics (cum laude), Utrecht University, 1982 Painting studies at Gerrit Rietveld Academie, Amsterdam (1982–1984) M.Sc. Theoretical Physics (cum laude), Utrecht University, 1986 Ph.D. Physics (cum laude), Utrecht University, 1989 Research Interests: Dijkgraaf’s work bridges string theory with advanced mathematical structures such as algebraic geometry and topology. His contributions include foundational studies on conformal field theories, topological string theory, and the interplay between gauge theories and quantum gravity. He has explored black hole entropy, matrix models, and duality in physics and mathematics. Awards & Honors: Spinoza Prize (2003) Comenius Prize (2012) Member of Royal Netherlands Academy of Arts and Sciences (2003) President of Royal Netherlands Academy of Arts and Sciences (2008–2012) Knight of the Order of the Netherlands Lion (2012) Leadership & Contributions: Dijkgraaf has organized numerous international conferences and served on editorial boards of journals like Communications in Mathematical Physics and Advances in Theoretical and Mathematical Physics . He led the Trieste Spring Schools on string theory and co-chaired the Strings 2001–2003 conferences. His leadership at IAS fosters interdisciplinary research across mathematics and physics. Public Engagement: He has authored popular works explaining theoretical physics to broader audiences, including articles on string theory and the role of mathematics in modern physics.

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.

Jeffrey C. LagariasView profile

Professor

• Number Theory
• Computational Complexity Theory
• Cryptography
• +6 more

Jeffrey C. Lagarias is the Harold Mead Stark Distinguished University Professor of Mathematics at the University of Michigan. His research spans Number Theory, Computational Complexity, Cryptography, and Discrete Geometry. He advises numerous graduate students, including those focusing on topics like Tetrahedral Packings, Polynomial Equations, and Zeta Functions. His work includes groundbreaking contributions to packing problems, dynamical systems, and the 3x+1 conjecture. Notable publications include 'Mysteries in Packing Regular Tetrahedra' (2012) and 'Li Coefficients for Automorphic L-Functions' (2007). He collaborates extensively with researchers like Yang Wang and Chuanming Zong. No awards are explicitly listed, though his academic stature reflects significant recognition. Lagarias teaches advanced mathematics courses and maintains an active research group. His lab focuses on interdisciplinary topics blending pure mathematics with applications in cryptography and optimization.

Glenn StevensView profile

Professor

• Number Theory
• Iwasawa Theory
• Elliptic Curves
• +3 more

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.

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.

Maryna ViazovskaView profile

Professor

• Sphere packing
• Fourier analysis
• Automorphic forms
• +3 more

Maryna Viazovska is a Full Professor at École Polytechnique Fédérale de Lausanne (EPFL), renowned for solving the sphere packing problem in dimensions 8 and 24. She holds a PhD from the Max Planck Institute for Mathematics and the University of Bonn (2013), with earlier degrees from Technical University Kaiserslautern (M.Sc., 2007) and Kyiv National Taras Shevchenko University (B.Sc., 2005). Her research focuses on sphere packing, optimal point configurations, Fourier analysis, automorphic forms, and number theory. Notable achievements include proving the E8 lattice's optimality in 8 dimensions and the Leech lattice in 24 dimensions, leveraging modular forms and interpolation techniques. Key awards include the Fields Medal (2022), Fermat Prize (2020), and Salem Prize (2016). She has held positions at Humboldt University of Berlin (BMS Dirichlet Postdoc), Institut des Hautes Études Scientifiques, and Princeton University. Her publications span top journals like Annals of Mathematics and address interdisciplinary topics such as superconductivity and combinatorial geometry. Viazovska’s work bridges pure mathematics with applications in coding theory and physics.