جست‌وجوی استاد و پژوهشگر

Max Weinreichمشاهده پروفایل

مدرس

• Dynamical Systems
• Algebraic Geometry
• Number Theory
• +۷ مورد دیگر

Max Weinreich is a Lecturer at Harvard University, specializing in arithmetic dynamics at the intersection of dynamical systems, algebraic geometry, and number theory. His research explores dynamical degrees, billiards, moduli spaces, integrable systems, finite fields, and projective configurations. PhD in Mathematics (Brown University, 2022) NSF Mathematical Sciences Postdoctoral Research Fellowship (2022–2025) Tenure-track job market candidate for Fall 2026 positions Research interests include arithmetic dynamics (iteration of number-theoretic functions), dynamical degrees (measuring complexity of transformations), algebraic billiards (geometric motion analysis), and moduli spaces (parametrizing geometric structures). His work often combines computational methods with pure theoretical insights. Recent publications focus on billiards in algebraic curves, GIT stability of linear maps, and moduli spaces of polynomial endomorphisms. He applies techniques from finite fields to combinatorial geometry problems, such as counting arcs in projective planes. Scientific awards include: NSF Mathematical Sciences Postdoctoral Research Fellowship During his postdoctoral tenure, Weinreich was supported by NSF Grant No. 2202752 and conducted graduate research under NSF Grant No. 2040433. Collaborators include Joe Silverman (thesis advisor), Laura DeMarco (postdoctoral advisor), and Nathan Kaplan, Talia Blum, and other mathematicians across his publications.

Anwar Hasanمشاهده پروفایل

استاد

• Cryptography
• Post-Quantum Cryptography
• Secure Multiparty Computation
• +۵ مورد دیگر

Anwar Hasan is a Professor in the Department of Electrical and Computer Engineering at the University of Waterloo. He specializes in cryptography, post-quantum cryptography, and secure computation, with a focus on algorithm optimization, cryptographic hardware implementation, and energy efficiency. His work spans theoretical foundations and applied systems, including blockchain technology, fault-tolerant cryptosystems, and secure multiparty computation. His research interests emphasize developing quantum-resistant cryptographic protocols, improving efficiency in cryptographic algorithms (e.g., EdDSA signature verification, CSIDH optimization), and designing secure systems against adversarial attacks (e.g., poisoning in federated learning, covert adversary models). He also explores energy consumption analysis of cryptographic algorithms, particularly in the context of NIST PQC standards and elliptic curve-based systems. Recent work includes contributions to threshold cryptography (isogeny-based schemes), decentralized oracle networks (CountChain), and privacy-preserving blockchain applications (AdChain). His publications frequently address hardware-software co-design for cryptographic primitives, emphasizing both theoretical advancements and practical implementation challenges. Dr. Hasan’s research also extends to applied areas such as fraud detection systems, digital rights management using blockchain, and energy efficiency in embedded cryptographic systems. He collaborates on projects involving secure communication in cloud computing and resilient key management for mobile applications.

• Mathematics
• Geometry
• Statistical Modeling
• +۱ مورد دیگر

Micha Wasem is an Associate Professor at the Fribourg School of Engineering and Architecture (HES-SO), affiliated with the Institute for Intelligent and Secure Systems. His research spans mathematical modeling, geometric analysis, and statistical methods with applications in engineering contexts. Current projects include FRISAM-Swisslos (statistical game analysis) and metamodeling techniques for geotechnical applications. His publications demonstrate expertise in computational mathematics, algebraic structures, and geometric equilibria. Teaching responsibilities include mathematics courses across engineering programs including civil, electrical, and mechanical engineering disciplines.

• Algebraic Geometry
• Symplectic Geometry
• Arithmetic Geometry
• +۷ مورد دیگر

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.

Preston Wakeمشاهده پروفایل

استادیار

• Algebraic Number Theory
• Arithmetic Geometry
• Modular Forms
• +۴ مورد دیگر

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.

Farshid Hajirمشاهده پروفایل

استاد

• Algebraic Number Theory
• Galois Theory
• Elliptic Curves
• +۴ مورد دیگر

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.

Tom Westonمشاهده پروفایل

استاد

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

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.

Thomas B. Graberمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Numerical Invariants of Algebraic Varieties
• +۳ مورد دیگر

Thomas B. Graber is a Professor of Mathematics and the Executive Officer for Mathematics at the California Institute of Technology (Caltech). He holds positions within the Division of Physics, Mathematics and Astronomy. His research focuses on algebraic geometry, particularly moduli spaces, numerical invariants of algebraic varieties, birational geometry, and arithmetic over function fields. Education: A.B. in Mathematics, Harvard University, 1994 M.A. in Mathematics, University of California, Los Angeles, 1995 Ph.D. in Mathematics, University of California, Los Angeles, 1998 Research Interests: Professor Graber’s work bridges foundational aspects of algebraic geometry with applications to birational geometry and arithmetic. His studies on moduli spaces explore their geometric structures and invariants, while his investigations into arithmetic over function fields intersect with number theory and algebraic geometry. He employs advanced techniques to address problems in these areas, contributing to the theoretical underpinnings of modern mathematics. Awards: No specific awards or honors are mentioned in the provided text. Advising & Grants: No information on advised students, grants, or funding is available in the text. His roles include administrative leadership as Executive Officer for Mathematics. Labs/Teams: No specific labs, research groups, or collaborative teams are listed in the provided information.

Roman Sauerمشاهده پروفایل

استاد

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

Prof. Dr. Roman Sauer is a Professor of Mathematics at Karlsruhe Institute of Technology (KIT), leading the Topology and Geometric Group Theory Group within the Institute of Algebra and Geometry. His research focuses on geometric topology, geometric group theory, and L²-invariants, with particular emphasis on manifolds, cohomology, and group actions. He has held roles such as Head of the Topology Group and contributed to foundational work on simplicial volume, bounded cohomology, and Kazhdan properties. Key research areas include the interplay between geometry and topology in manifolds, the study of arithmetic groups through profinite invariants, and applications of measure-theoretic methods to group theory. His work often bridges algebraic topology with geometric analysis, addressing questions about rigidity, stability, and quantitative invariants. Publications highlight contributions to L²-Betti numbers, geometric group actions, and the interplay between group properties and topological structures. Notable collaborations involve Uri Bader, Clara Löh, and others in advancing the field of geometric topology and related cohomological theories.

Peter Schneiderمشاهده پروفایل

استاد

• Representation theory
• Algebraic number theory
• p-adic analysis
• +۱ مورد دیگر

Peter Schneider is a Professor at the University of Münster, holding this position since 1994. He has held previous roles including Visiting Professor at the University of British Columbia (2012), Professor at the University of Köln (1985–1994), and Professor at the University of Heidelberg (1984–1985). His research focuses on Representation theory, Algebraic number theory, p-adic analysis, and Arithmetic geometry. Schneider has made significant contributions to p-adic Langlands program, modular representation theory, and the interplay between algebraic geometry and number theory. Research Interests: Schneider’s work explores foundational aspects of p-adic analysis, including p-adic distributions, representations of p-adic groups, and the geometric structures like Bruhat-Tits buildings. His studies on arithmetic geometry bridge algebraic geometry with number theory, addressing topics such as Galois representations and modular forms. Awards and Honors: Leibniz Prize (1992) Prix du Ministère de l'Education Nationale (1995) Clay Research Scholar (2005) Invited Section Lecturer at the International Congress of Mathematicians (2006) His publications include seminal works on p-adic Fourier theory, Pro-p-Iwahori-Hecke algebras, and the p-adic Langlands functoriality. Schneider has authored influential books such as Non-archimedean Functional Analysis and p-adic Lie Groups .

Maryna Viazovskaمشاهده پروفایل

استاد

• Sphere packing
• Fourier analysis
• Automorphic forms
• +۳ مورد دیگر

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.

Erik Panzerمشاهده پروفایل

پژوهشگر ارشد

• Quantum field theory
• Number theory
• Feynman integrals
• +۶ مورد دیگر

Dr Erik Panzer is a Royal Society University Research Fellow at the Mathematical Institute, University of Oxford, and a Fifty-Pound Fellow at All Souls College since 2021. His research lies at the intersection of quantum field theory and number theory, focusing on Feynman integrals, hyperlogarithms, and motivic periods. Education: PhD in Mathematics, Humboldt-Universität zu Berlin (2015) CASM (Part III), University of Cambridge (2009-2010) Undergraduate studies at Freie Universität Berlin and Brandenburgische Technische Universität Cottbus Research Interests: Panzer's work spans quantum field theory, number theory, and algebraic geometry. He investigates Feynman graphs and integrals, hyperlogarithms, (elliptic) polylogarithms, and multiple zeta values. His research also delves into motivic periods, combinatorial Hopf algebras, renormalization, and graph complexes. Publications: His recent publications explore advanced topics such as the cohomology of GL₂ₙ(ℤ), regularized integrals, Feynman symmetries, and hierarchies in Picard-Lefschetz theory. His work often involves intricate calculations in quantum field theory and deep connections to number theory. Awards and Grants: Foreign Exchange Scholarship from Studienstiftung (2009-2010) College Prize, Retrospective Title of Scholar 2009/10 (2008) Royal Society University Research Fellowship Events: Panzer has co-organized numerous academic events, including conferences on tropical geometry, periods, and scattering amplitudes, fostering interdisciplinary collaboration.

• Dynamical Systems
• Mathematical Physics
• Chaos Theory
• +۳ مورد دیگر

João Lopes Dias is a Professor and Vice-President for Academic Affairs at the School of Economics and Management (ISEG) of the University of Lisbon. He holds a PhD in Mathematics from the University of Cambridge (2002) and an Agregação in Applied Mathematics from ISEG (2011). His research focuses on dynamical systems, with particular emphasis on billiards dynamics, hyperbolicity, Lyapunov exponents, and Hamiltonian systems. He has led the Mathematics Department at ISEG and coordinated the research center CEMAPRE. Education: Licenciatura in Engineering Physics (IST, 1996), PhD (Cambridge, 2002), Agregação (ISEG, 2011). Professional Roles: Vice-President of ISEG, former head of Mathematics Department, and coordinator of CEMAPRE. His research explores chaotic dynamics and geometric properties of dynamical systems, with notable contributions to billiard models and SRB measures. Over 20 published articles since 2002 reflect his expertise in these areas. Dr. Dias has supervised multiple master’s theses on topics such as stochastic processes in finance, Lotka-Volterra equations, and fractal geometry. His work bridges pure mathematics with applications in economics and physics.

• Number Theory
• Algebraic Geometry
• Formalization of Mathematics
• +۳ مورد دیگر

Sander Dahmen is an Associate Professor in the Department of Mathematics at Vrije Universiteit Amsterdam. He is affiliated with the Faculty of Science and actively involved in academic research and teaching. His primary research interests include Number Theory, Algebraic Geometry, and the formalization of mathematical proofs. Dahmen has contributed to foundational work in areas such as Dedekind domains, class groups of global fields, elliptic curves, and Diophantine equations. He has led research projects including the 'Formalizing Diophantine algorithms' (2022–2026) and 'New Diophantine Directions' (2017–2022), focusing on algorithmic and computational aspects. He currently teaches courses such as 'Number Theory' and 'Project Computer Assisted Proofs'. His research has been supported by grants, including the NWO tenure-track grant (2014–2019). His publications span topics like formalizing mathematical structures, elliptic curve computations, and solving complex Diophantine equations. Dahmen also serves as an external member of the exam committee for Boswell-Bèta in Utrecht since 2021. His work bridges foundational mathematics with computational methods, emphasizing rigor through formal proof systems like Coq.

• Number Theory
• Algebraic Geometry
• Adult Education

Albanos Paraskevas is a Lecturer at Aristotle University of Thessaloniki's Department of Algebra, Number Theory and Mathematical Logic. He holds a PhD in Diophantine Geometry and has been teaching since 2014, covering courses like Number Theory, Cryptography, and Algebraic Structures. His professional experience includes over 16 years of secondary education (2001–2017) and ongoing roles in adult education since 2007, focusing on statistics, economic mathematics, and computer literacy. Education: Undergraduate: Mathematics, Aristotle University of Thessaloniki Postgraduate: Theoretical Mathematics and Studies in Education Doctoral Thesis: Explicit Curves on Algebraic Number Fields and Diophantine Equations (Supervisor: Dimitrios Poulakis) Research focuses on Number Theory (Diophantine equations, algebraic number fields), Algebraic Geometry (Riemann-Roch spaces, algebraic curves), and Adult Education (technology adoption in teaching). His work bridges theoretical mathematics with practical applications in education. Publications emphasize computational solutions to Diophantine problems and educational methodologies. No awards are explicitly mentioned, but his active teaching and research roles reflect sustained academic contribution.