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Peter BruinView profile

Assistant Professor

• Number Theory
• Algebraic Geometry
• Elliptic Curves
• +5 more

Peter Bruin is an Assistant Professor at the Mathematical Institute of Leiden University, specializing in algebra, geometry, and number theory. He is affiliated with the Quantum Software Consortium, an NWO Gravitation project, and the ALGANT Organisation. His research focuses on concrete arithmetic between geometry and number theory, with particular interest in elliptic curves, Galois representations, and modular forms. Peter Bruin completed his PhD at Universiteit Leiden in 2010 with the thesis "Modular curves, Arakelov theory, algorithmic applications" under the supervision of Prof. dr. S. J. Edixhoven and Dr. R. S. de Jong. Prior to that, he earned his Master's degree from the same institution in 2006 with the thesis "Green functions on Riemann surfaces and an application to Arakelov theory." His academic journey includes postdoctoral positions at Université Paris-Sud 11, Institut des Hautes Études Scientifiques, Universität Zürich, and the University of Warwick, where he served as an Assistant Professor (Warwick Zeeman Lecturer). Bruin's research interests lie at the intersection of algebraic geometry and number theory, with particular focus on elliptic curves, Galois representations, modular forms, and arithmetic geometry. His work often involves developing computational methods and software tools to explore theoretical questions in these areas. He has made significant contributions to understanding torsion structures of elliptic curves, L-functions, and the connections between modular curves and number fields. His research has applications in cryptography, particularly in lattice-based and post-quantum cryptographic systems. His recent publications demonstrate a strong focus on the arithmetic properties of elliptic curves and their generalizations, with particular attention to torsion structures, modular curves, and the computational aspects of Galois representations. His work spans both theoretical developments and practical implementations, as evidenced by his creation of specialized mathematical software packages. Organized "An Expedition into Arithmetic Geometry" (2023) in memory of Bas Edixhoven Co-organized COUNT workshop (2023) on computations in number theory Organized 6th General Assembly of Quantum Software Consortium (2021) Organized Algorithms in Number Theory and Arithmetic Geometry workshop (2017) As an educator, Bruin teaches a variety of courses including Linear Algebra, Topology, Modular Forms, and Representation Theory of Finite Groups. He also leads seminars on presenting and communicating mathematical concepts. His teaching philosophy emphasizes connecting theoretical concepts with practical applications, particularly in the emerging field of quantum computing.

Hui June ZhuView profile

Associate Professor

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +5 more

Hui June Zhu is an Associate Professor in the Department of Mathematics at the University at Buffalo, part of the State University of New York system. She specializes in Arithmetic Geometry and Number Theory, focusing on topics such as abelian varieties, L-functions, exponential sums, and algebraic curves over finite fields. Her research intersects p-adic analysis, finite field theory, and algebraic geometry. Education: PhD from the University of California, Berkeley. Her academic career includes contributions to understanding the arithmetic properties of curves and their associated L-functions. Research Interests: Zhu’s work emphasizes the study of supersingular abelian varieties, p-rank stratification, Newton polygons, and p-adic variation of L-functions. She explores the interplay between geometric structures and number-theoretic properties, particularly in Artin-Schreier curves and exponential sums. Recent Research Trends: Her recent publications (2013–2024) highlight advancements in constructing curves with controlled p-ranks, analyzing slopes of L-functions in Zp-covers, and exploring generic Newton slopes in two-variable settings. She also contributes to the study of crystalline representations and zeta functions of p-covers. Grants & Advising: No specific grants or advising roles are listed in the provided texts. Professional Links: Maintains an academic website with accessible papers and research tools. Erdős number of 3 via Erdős-Granville-Croot-Zhu collaboration pathways.

Stavros GaroufalidisView profile

Professor

• Low-dimensional topology
• Quantum topology
• Mathematical physics
• +7 more

Stavros Garoufalidis is a Professor at the Southern University of Science and Technology (SUSTech) in Shenzhen, China, and an External Scientific Member at the Max-Planck-Institute for Mathematics (MPIM) in Bonn, Germany. He holds a Hirzebruch Research Chair (2018-19) and has been a Professor at Georgia Institute of Technology (2003-2019). He earned his Ph.D. in Mathematics from the University of Chicago (1992) and has held postdoctoral positions including CLE Moore Instructor at MIT (1993-95) and Tamarkin Instructor at Brown University (1995-96). His research focuses on low-dimensional topology, quantum topology, and mathematical physics, with emphasis on knot theory, hyperbolic geometry, Chern-Simons theory, and resurgence phenomena. Key areas include colored Jones polynomials, Volume Conjecture, and connections between quantum invariants and geometric structures. Garoufalidis has collaborated with over 70 researchers and advised multiple Ph.D. students. His awards include the Bronze medal at the 1998 IMO, American Mathematical Society Centennial Fellowship (1998-2000), Simons Foundation Fellowship (2013), and Simons Guggenheim Fellowship (2012). He is affiliated with the International Center for Mathematics at SUSTech and leads research groups exploring topics like 3D-index, quantum modular forms, and topological recursion. His work bridges topology, geometry, and mathematical physics through interdisciplinary approaches.

Christian MaireView profile

Professor

• Number Theory
• Algebraic Number Theory
• Galois Theory
• +3 more

Christian Maire is a Professor of Mathematics at the University of Franche-Comté since 2007, based at the FEMTO-ST Institute. Previously, he held positions at Toulouse II University and Bordeaux I. His expertise lies in Number Theory, Algebraic Number Theory, and related fields, with a focus on Galois representations, pro-p extensions, and arithmetic geometry. He has been actively involved in international collaborations, including projects in Africa, such as the 'Arithmetic and Geometry in Central Africa' initiative, and has supervised numerous doctoral students across multiple countries. Education and Academic Background Ph.D. in Mathematics, University of Besançon, 1995 (under supervision of Georges Gras) Accreditation to Supervise Research (HDR), University of Bordeaux I, 2001 Research Interests Maire’s research focuses on algebraic number theory, including pro-p extensions, class field towers, ramification theory, and Galois module structures. He has contributed to understanding the structure of number fields and their extensions, with applications in cryptography and coding theory. His work often involves collaborations with researchers worldwide, particularly in developing countries, promoting mathematical education and research in Africa. Grants and International Collaborations Maire has coordinated and participated in multiple international projects, including: Co-coordinator of the 'Arithmetic and Geometry in Central Africa' project Visiting positions at Cornell University, University of Massachusetts, and Harbin Institute of Technology Organizer of events like the African Mathematics School in Brazzaville and the Gabonese Workshops in Arithmetic Doctoral Supervision He has supervised over a dozen PhD students, including co-supervision agreements with institutions in Gabon, Congo, Burkina Faso, and Mongolia. Notable current collaborations include the supervision of Copernic BounGouendji Lebouma (Gabon/Congo) and Karim Sankara (Burkina Faso) through programs like IMU-CDC and AFRIMath. Labs and Teams Maire is part of the Mathematics group at the FEMTO-ST Institute, actively contributing to projects like MASPIN (Maths at FEMTO-ST). His work integrates theoretical research with applied areas such as coding theory, leveraging algebraic structures from number fields.

Yen-Tsung ChenView profile

Assistant Professor

• Number Theory in Function Fields
• Arithmetic of Drinfeld Modules
• Transcendence Theory
• +3 more

Yen-Tsung Chen is an S. Chowla Assistant Research Professor in the Department of Mathematics at Pennsylvania State University. His research focuses on number theory in function fields, specifically arithmetic of Drinfeld modules, transcendence of special values, and Drinfeld modular forms. He completed his Ph.D. in Mathematics at National Tsing Hua University under Chih-Yu Chang in 2022. Upcoming professional activities include a visit to Texas A&M University (May–August 2025) and Concordia University (June 2025). His work explores advanced topics such as analytic continuation of polylogarithms, modular forms of arbitrary rank, and linear independence criteria in positive characteristic settings. He maintains an active research agenda with collaborations and international engagements in algebraic number theory. Contact details: Office 217 McAllister Building, University Park, PA 16802. Emails: ybc5485@psu.edu and ytchen.math@gmail.com .

Sylvia WiegandView profile

Professor

• Commutative Algebra
• Algebraic Geometry
• Module Theory
• +3 more

Sylvia Wiegand is a Professor of Mathematics at the University of Nebraska, where she has held positions since the 1970s. She earned her Ph.D. in Commutative Algebra from the University of Wisconsin in 1972 under Lawrence Levy. Her research focuses on commutative algebra, module theory, and non-Noetherian rings. She has published over 40 papers, including collaborations with her husband Roger Wiegand, and supervised five Ph.D. students. Wiegand served as President of the Association for Women in Mathematics (AWM) from 1997–1999, advocating for women in mathematics and promoting federal support for STEM education. She co-founded the Nebraska Conference for Undergraduate Women in Mathematics and received the Outstanding Contribution to the Status of Women Award from Nebraska University in 2000. Her professional service includes editorial roles and leadership in the American Mathematical Society and Mathematical Association of America. Her work spans foundational contributions to module theory, ring extensions, and spectral analysis, with notable results on stable isomorphism of modules and prime ideals in polynomial rings. She remains active in advancing mathematical education and diversity initiatives.

• Algebraic Geometry
• Motivic Homotopy Theory
• Algebraic K-Theory
• +3 more

Tom Bachmann is a Professor in the Department of Mathematics at Johannes Gutenberg University Mainz, Germany. His research focuses on motivic homotopy theory, algebraic geometry, and algebraic K-theory, with particular emphasis on topics such as motivic spectra, étale homotopy theory, and categorical structures in algebraic topology. He has authored numerous preprints and publications in leading journals, including collaborations with researchers like Aravind Asok, Elden Elmanto, and Mike Hopkins. His work often explores foundational aspects of motivic theory, such as P¹-stabilization, Whitehead theorems for motivic spaces, and normed motivic spectra. He currently advises four doctoral students and has previously mentored Ola Sande. Teaching responsibilities include advanced courses on motivic homotopy theory, algebraic geometry, and algebraic number theory. His academic service includes organizing research seminars and contributing to curriculum development in topics like presheaves with transfers and Galois cohomology. Contact details include his office at Staudingerweg 9, 4-423, and email tom.bachmann@zoho.com. Research interests span the intersection of algebraic geometry and homotopy theory, with a focus on categorical frameworks (e.g., Mackey functors, spectral categories) and their applications to questions in algebraic K-theory and cobordism. Recent work addresses étale motivic stable homotopy theory, nilpotence in MGL-modules, and the structure of motivic stable stems.

• Mathematics Education
• Computational Group Theory
• Representation Theory
• +3 more

Dr Brendan Masterson is a Senior Lecturer in Mathematics at Middlesex University, based in the Department of Design Engineering & Mathematics within the Faculty of Science and Technology. He holds a PhD in computational group theory and representation theory from the University of Galway (2016) and has been at Middlesex University since 2016. As Programme Leader for undergraduate mathematics programmes since 2021, he oversees curriculum development and student progression. He also manages the Maths Help Centre, providing academic support to students. Education: PhD in Mathematics (Computational Group Theory & Representation Theory), National University of Ireland Galway, 2016 Bachelor's/Master's qualifications (unspecified in text) Research Interests: Focuses on computational group theory, representation theory, Burnside rings, and mathematics education innovation. His work includes advancing pedagogical methods through authentic learning activities, public engagement initiatives, and non-traditional assessment strategies to enhance student well-being and employability. Recent Research Trends: Recent publications emphasize mathematics education reform, including no-exam assessment models, student-led video curation projects, and integrating historical context into post-pandemic teaching. His earlier research (2018) explored algebraic structures like tables of marks in finite groups. Teaching Contributions: 2023/24 modules: Professional Practice for Biomedical Science, Probability & Data Analysis, Linear Algebra, Abstract Algebra, Financial Mathematics, Galois Theory, Management Decision Making Curriculum design for authentic learning activities aligned with industry needs Academic Leadership: Manages the Maths Help Centre and leads undergraduate mathematics programme strategies. Collaborates on projects to enhance student engagement and well-being through innovative pedagogy.

Jacob TsimermanView profile

Associate Professor

• Number Theory
• Arithmetic Geometry
• Hodge Theory
• +7 more

Jacob Tsimerman is an associate professor in the Department of Mathematics at the University of Toronto. His research lies at the intersection of number theory, algebraic geometry, and model theory, with a focus on arithmetic geometry and functional transcendence. Institution: University of Toronto Department: Department of Mathematics Position: Associate Professor Email: jacobt@math.toronto.edu Office: HU1001B, 215 Huron Street, Toronto His research interests include Number Theory, Arithmetic Geometry, Hodge Theory, o-minimality, Shimura Varieties, and Automorphic Forms. He has made significant contributions to the André-Oort conjecture, Ax-Schanuel theorems, and equidistribution problems using tools from model theory and transcendental number theory. His recent publications show a deep engagement with functional transcendence, differential geometry, and the interplay between algebraic and analytic structures. He frequently collaborates with leading mathematicians such as Jonathan Pila, Benjamin Bakker, and Michael Lipnowski. His work often appears in top-tier journals including Annals of Mathematics , Inventiones Mathematicae , and Compositio Mathematica . He has taught a variety of advanced courses such as Number Theory (MAT382), Algebraic Number Theory (MAT415), Topology (MAT327), and Problem Solving Seminars (MAT475, MAT495). He has also produced lecture notes on Etale Cohomology and organized Putnam preparation seminars. While no specific awards are listed in the provided material, his publication record in premier journals indicates high-level recognition in the mathematical community. He advises students informally through seminars and courses, though no formal PhD students are listed. He is involved in research grants and collaborations, particularly in areas bridging logic and number theory. His office hours and course materials suggest active engagement with undergraduate and graduate education. He maintains a research group or circle of collaborators, particularly with Benjamin Bakker, Jonathan Pila, and others working on o-minimality and its applications to Diophantine problems.

Fabian JanuszewskiView profile

Professor

• Number Theory
• Algebra
• Representation Theory
• +8 more

Prof. Dr. Fabian Januszewski is a Professor at the University of Paderborn , affiliated with the Institute of Mathematics within the Faculty of Computer Science, Electrical Engineering and Mathematics . He leads the Algebra and Number Theory research group, focusing on Shimura varieties , automorphic representations , L-functions , Iwasawa theory , and representation theory . He is actively involved in the TRR 358 collaborative research center, specifically subproject C03. Current research on integral structures in geometry and higher categorical methods . Recent projects include non-abelian p-adic L-functions and non-vanishing of central L-values . Teaching includes courses like Algebraic Number Theory II , Linear Algebra II , and seminars on number theory. Email: fabian.januszewski@uni-paderborn.de | Office: D2.231, Warburger Str. 100, Paderborn

• Algebraic Groups
• Galois Cohomology
• Lie Theory
• +5 more

Nicole Lemire is an Associate Professor in the Department of Mathematics at the University of Western Ontario, located in Middlesex College. Her research focuses on algebraic groups, Galois cohomology, Lie theory, representation theory, and essential dimension, with contributions to birational invariant theory and vector bundles over curves. She has collaborated with prominent mathematicians such as A. Dhillon, J. Minac, and Z. Reichstein, publishing extensively in journals like the Journal of the American Mathematical Society and the Indiana University Mathematics Journal. Lemire's work often bridges algebraic geometry, number theory, and group theory, addressing questions about invariant fields, moduli stacks, and cohomological structures. Her publications include groundbreaking studies on Cayley groups, essential dimension of stacks, and tilting sheaves. Notable contributions include resolving problems related to quasi-split algebraic tori and Severi-Brauer varieties. While no awards are explicitly mentioned, her frequent publications in high-impact venues underscore her scholarly impact. Lemire has taught courses such as Linear Algebra I and Rings and Modules, reflecting her commitment to both research and education. Her research themes consistently explore foundational questions in algebraic geometry and group theory, with applications to cohomological invariants and moduli problems. Collaborations span across institutions, including the University of British Columbia and the University of Waterloo, highlighting her role in fostering interdisciplinary mathematical discourse.

• Number Theory
• Modular Forms
• Commutative Algebra
• +3 more

Robert Dicks is an Assistant Professor in the Department of Mathematical and Statistical Sciences at Clemson University, affiliated with the College of Science. His primary research focuses on number theory, particularly modular forms, and extends to commutative algebra and automorphic representations. He holds an office in Martin Hall O17 and can be reached at rdicks@clemson.edu. His research interests span advanced topics in algebraic number theory and its intersections with representation theory and algebraic geometry. Notable areas include the study of automorphic forms, Galois representations, and modular form theory with applications to arithmetic geometry. Dr. Dicks has published seven articles between 2020 and 2025, primarily in number theory and algebra, exploring themes like modular forms, automorphic representations, and commutative algebra structures. No scientific awards or grants are listed in the provided materials. No advising activities, lab affiliations, or future projects are explicitly mentioned in the profile.

Omar KihelView profile

Professor

• Algebraic Number Theory
• Elliptic Curves
• Diophantine Equations
• +4 more

Omar Kihel is a Professor of Mathematics at Brock University, affiliated with the Department of Mathematics and Statistics within the Faculty of Mathematics and Statistics. His research focuses on Algebraic Number Theory, Elliptic Curves, Diophantine Equations, Permutation Polynomials over Finite Fields, Galois Theory, and Cryptography. He has been invited to speak at multiple international conferences, including the 25th Annual Meeting in Mathematics (AMM 2021) in Bangkok and the Mathematical Congress of the Americas 2021. He holds the title of Fellow of the Papua New Guinea Mathematical Society (since 2013) and received a teaching excellence award from Brock University in 2017. His research trends emphasize Diophantine equations, permutation polynomials, and applications of algebraic structures in cryptography. Recent publications explore topics such as integer solutions to equations, elliptic curve properties, and polynomial theory. His work frequently intersects with number theory, algebraic geometry, and combinatorics. Scientific Awards: Teaching award in the faculty of Mathematics and Statistics (2017) Fellow of the Papua New Guinea Mathematical Society (2013–present) His advising and grants are not explicitly detailed in the provided text. His research is primarily theoretical, contributing to foundational areas of mathematics with potential applications in cryptography and computational algebra.

• Commutative Algebra
• Non-Commutative Algebra
• Homological Algebra
• +1 more

Frank Moore is a Professor of Mathematics at Wake Forest University. His research focuses on homological algebra, commutative and non-commutative algebra, and algebraic software development. He holds a Ph.D. from the University of Nebraska (advisor: Lucho Avramov) and completed postdoctoral work at Cornell University (advisor: Irena Peeva). Research interests include homological questions in commutative algebra, non-commutative algebra inspired by commutative theory, and computational methods in algebra. His work often involves exploring structures like Hopf algebras, skew polynomial rings, and derived categories, with applications to algebraic geometry and singularity theory. Recent publications (2022–2014) highlight studies on Hopf algebras, support varieties, Taylor resolutions, and non-commutative Knörrer periodicity. No scientific awards are explicitly mentioned in the text. Moore has advised no listed students in the provided data. His grants and labs are not detailed here, though his software development efforts suggest involvement in computational algebra tools.

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

Francesc Bars Cortina is a Professor in the Department of Mathematics at Universitat Autònoma de Barcelona (UAB). He specializes in Iwasawa Theory, Modular Curves, and Number Theory, with a focus on arithmetic properties of modular curves and function fields. He has held continuous research positions since his Ph.D. in 2001 and has been accredited for a Full Professor position by AQU in 2023. Education: Ph.D. in Mathematics (2001) and Degree in Mathematics (1995), both from UAB. He conducted postdoctoral research with Christopher Deninger’s team at the University of Münster (1998–2000). Research interests include developing Iwasawa Theory for function fields of positive characteristic and studying modular curves’ automorphism groups. Key contributions include the 2020 paper on the Iwasawa main conjecture for Carlitz cyclotomic extensions and the 2021 paper on automorphism groups of modular curves with square-free levels. Awarded over 150 reviews for MathSciNet and Zentralblatt, and currently reviews Prof. Kazuya Kato’s work. He co-organized workshops like STNB and presented at international conferences (e.g., Zagreb 2023, Busan 2022). Supervised 20 students, including E. Badr. Active in grants like 'VALORACIONES NO ARQUIMEDIANAS' (2021–2025) and earlier projects on arithmetic geometry.