جست‌وجوی استاد و پژوهشگر

Stephen S. Kudlaمشاهده پروفایل

استاد

• Automorphic Forms
• Arithmetic Geometry
• Theta Functions
• +۴ مورد دیگر

Stephen S. Kudla is a Professor in the Department of Mathematics at the University of Toronto, located in the Bahen Centre for Information Technology. He holds the prestigious distinction of being a Fellow of the Royal Society of Canada (FRSC), reflecting his significant contributions to mathematical research. Professor Kudla's research focuses on the deep connections between number theory and geometry, with particular expertise in automorphic forms, arithmetic geometry, and theta functions. His work bridges abstract mathematical theory with concrete geometric structures, exploring how modular forms can encode arithmetic information about algebraic varieties. Analysis of Kudla's publication record reveals a sustained research program centered on the relationship between derivatives of Eisenstein series and arithmetic geometry. His work consistently explores how modular and automorphic forms can be used to study arithmetic cycles on Shimura varieties. A notable pattern in his research is the interplay between analytic objects (like Eisenstein series) and geometric structures (such as arithmetic cycles), with applications to understanding heights, intersection theory, and special values of L-functions. Fellow of the Royal Society of Canada (FRSC) While specific details about Kudla's advising activities aren't provided in the available materials, his extensive publication record with prominent collaborators like Michael Rapoport and Tonghai Yang suggests he has likely mentored numerous graduate students and postdoctoral researchers throughout his career. His participation in major mathematical conferences including the International Congress of Mathematicians (ICM) indicates recognition by the broader mathematical community. Kudla's research has clearly been supported by significant funding, as evidenced by his ability to maintain a sustained publication record in top mathematical journals.

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.

Patrick Allenمشاهده پروفایل

دانشیار

• Number Theory
• Galois Representations
• Automorphic Forms
• +۳ مورد دیگر

Patrick Allen is an Associate Professor in the Department of Mathematics and Statistics at McGill University, where he contributes to research in number theory and related fields. He is affiliated with the Montreal Number Theory Group and the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA), focusing on areas such as Galois representations, automorphic forms, and algebraic number theory. His work bridges algebraic geometry and arithmetic, with a particular emphasis on modularity lifting theorems and deformation theory. Allen's research interests include the study of CM fields, modular forms, and elliptic curves, alongside investigations into the Langlands program and p-adic methods. He has published extensively on topics such as potential automorphy, monodromy, and adjoint Selmer groups. His contributions address questions in arithmetic algebraic geometry and cohomological automorphic forms, often intersecting with representation theory. While his articles span over 20 years, recent work (2020–2023) emphasizes the modularity of Galois representations over CM fields and the application of automorphic techniques to solve problems in number theory. Allen’s research often involves collaboration with international experts in algebraic number theory and arithmetic geometry. Scientific Awards: None explicitly listed in the provided materials. Advising & Grants: No formal advisees or grant details are listed in the text. His affiliations with CICMA suggest participation in collaborative research initiatives, though specific grants are not mentioned. Labs/Teams: Active member of the Montreal Number Theory Group and CICMA, contributing to inter-university collaborative projects in algebraic number theory.

• HVDC systems
• Power system protection
• Converter modelling
• +۳ مورد دیگر

Sahar Pirooz Azad is an Assistant Professor in the Department of Electrical and Computer Engineering at the University of Waterloo. She holds a PEng designation and specializes in power systems engineering, particularly in HVDC systems and grid stability. Previously, she served as an Assistant Professor at the University of Alberta (2015–2017) and conducted postdoctoral research at the University of Toronto’s CAPE Centre and KU Leuven in Belgium. Her research focuses on enhancing power grid stability through advanced control schemes for HVDC grids, converter modeling, and fault protection mechanisms. Dr. Azad’s work addresses challenges in multi-terminal HVDC systems, offshore wind grid integration, and multi-vendor system compatibility. She has taught courses like Power System Protection and Relaying (ECE 765) and Electromechanical Energy Conversion (ECE 260), reflecting her expertise in both theoretical and applied electrical engineering. Her recent publications emphasize innovative protection schemes for HVDC grids, fault detection algorithms using signal processing (e.g., Hilbert-Huang Transform), and robust controller designs for multi-vendor VSC systems. These contributions aim to improve grid reliability, fault resilience, and renewable energy integration efficiency. Dr. Azad is actively recruiting graduate students and holds Sole-Supervisory Privilege Status (SSPS) at Waterloo. Her research has been supported by European Commission-funded projects like MEDOW and leverages interdisciplinary approaches to tackle modern grid challenges.

Florian Herzigمشاهده پروفایل

استاد

• Number Theory
• Representation Theory

Florian Herzig is a Professor in the Department of Mathematics at the University of Toronto. His research focuses on Number Theory and Representation Theory, particularly mod p and p-adic representations of reductive groups. Education: Ph.D., Harvard University Certificate of Advanced Study in Mathematics (Part III), University of Cambridge B.A., University of Cambridge Research Interests: Herzig works on modular and p-adic representations, with applications to the Langlands program. His work explores Serre-type conjectures, local-global compatibility, and cohomology of Shimura varieties. Scientific Awards: He was named a Fellow of the American Mathematical Society in 2025. Publications & Collaborations: Herzig has co-authored major works with Christophe Breuil, Yongquan Hu, and Benjamin Schraen. His research appears in leading journals like Inventiones Mathematicae and Duke Mathematical Journal. Teaching & Seminars: He has taught graduate courses on linear algebraic groups and p-modular representations. He participates in the Arizona Winter School and international workshops on representation theory.

Myrto Mavrakiمشاهده پروفایل

استادیار

• Arithmetic Geometry
• Dynamical Systems
• Unlikely Intersections
• +۷ مورد دیگر

Myrto Mavraki is an Assistant Professor in the Department of Mathematics at the University of Toronto, with affiliations to both the St. George and Mississauga campuses. She specializes in arithmetic geometry and dynamical systems, particularly the theory of unlikely intersections and canonical heights in families of rational maps. Institution: University of Toronto School: Faculty of Arts and Science Department: Department of Mathematics Rank: Assistant Professor Her research focuses on deep connections between arithmetic geometry and dynamical systems. Key areas include equidistribution, variation of canonical heights, preperiodic points, and unlikely intersections in families of maps, especially on the projective line and in elliptic surfaces. These topics lie at the heart of modern arithmetic dynamics and have strong ties to Diophantine geometry and number theory. The most recent publications show a sustained focus on canonical height variation, equidistribution, and the geometry of post-critically finite and preperiodic loci in parameter spaces. Collaborations with leading mathematicians such as Laura DeMarco, Harry Schmidt, and Hexi Ye reflect her central role in current developments in arithmetic dynamics. Her work combines algebraic, analytic, and arithmetic techniques to solve deep conjectures and establish foundational results. Her research is supported by an NSERC Discovery Grant and an Early Career Supplement (2024–2029), and previously by an NSF grant (DMS-2200981). She has mentored or collaborated with several prominent researchers and is likely supervising graduate students, though none are explicitly named. She does not list formal awards, but her publication record in top journals and prestigious fellowships indicate high recognition in the mathematical community. Mavraki held the Benjamin Peirce Fellowship at Harvard (2020–2023), a highly competitive postdoctoral position, and prior positions at the University of Basel and Northwestern University. She earned her PhD from the University of British Columbia under Dragos Ghioca.

Abdellah Sebbarمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۷ مورد دیگر

Abdellah Sebbar is a Full Professor in the Department of Mathematics and Statistics at the University of Ottawa. He holds a PhD from Stony Brook University (1993-1997) and prior degrees from Rabat and Strasbourg. His research focuses on number theory, algebraic geometry, and modular forms, with specialties in elliptic curves, moonshine theory, and quantum groups. He has authored over 40 publications, including works on Schwarzian equations and equivariant functions. His career includes roles as CRM-ISM Postdoctoral Fellow (1997-1999), CMS Instructor (1999-2001), and Associate Professor (2004-2013) before attaining his current rank. He advises graduate students and collaborates on projects involving modular subgroups and automorphic forms. Education: 1992: BSc in Pure Mathematics, Rabat 1992-1993: DEA (Master's), Strasbourg 1993-1997: PhD in Mathematics, Stony Brook (Fulbright Scholar) Research Interests: Modular forms and functions Elliptic curves and surfaces Discrete groups and moonshine Quantum groups and mathematical physics Schwarzian differential equations Professional Timeline: 2013–Present: Full Professor, UOttawa 2004–2013: Associate Professor, UOttawa 2001–2004: Assistant Professor, UOttawa His recent work emphasizes applications of Schwarzian equations to modular forms and automorphic differential equations. Collaborative efforts with Hicham Saber and others explore equivariant functions and vector-valued modular forms. He has supervised multiple PhD/MSc students, including co-supervision with Damien Roy.

Francesco Cellarosiمشاهده پروفایل

دانشیار

• Pure Mathematics
• Probability Theory
• Number Theory
• +۳ مورد دیگر

Francesco Cellarosi is an Associate Professor in the Department of Mathematics and Statistics at Queen's University, within the Faculty of Arts and Science. His research focuses on the intersection of dynamics, probability theory, ergodic theory, number theory, and mathematical physics. He investigates how classical number-theoretic objects exhibit random features, employing dynamical methods such as spectral theory of group actions and analysis of flows on homogeneous spaces. Educational Background: PhD in Mathematics (2011), Princeton University MSc in Mathematics (2007), Princeton University Laurea Magistrale (Master's) in Mathematics (2006), Università degli Studi di Bologna Research Interests: Dr. Cellarosi explores probabilistic phenomena in number theory, including theta sums, quadratic Weyl sums, and k-free integers. His work bridges ergodic theory and quantum mechanics, analyzing autocorrelation functions and spectral properties of physical systems. Key themes include limit theorems, random processes of number-theoretic origin, and applications to statistical mechanics. Professional Profile: He teaches advanced courses such as MATH 892 and MATH/MTH 328. His office is Jeffery Hall 506, and he maintains a Google Scholar profile and personal website. No awards are explicitly listed, but his extensive publication record reflects scholarly contributions. Labs/Teams: While no specific labs are mentioned, his collaborations span pure mathematics and mathematical physics, often involving interdisciplinary dynamics and probability.

Patrick Ingramمشاهده پروفایل

دانشیار

• Number Theory
• Diophantine Geometry
• Arithmetic of Elliptic Curves and Surfaces
• +۴ مورد دیگر

Patrick Ingram is an Associate Professor at the Department of Mathematics and Statistics , Faculty of Science , York University . His research focuses on number theory and diophantine geometry , particularly the arithmetic of elliptic curves and surfaces , and dynamical systems over global fields . His scholarly work includes significant contributions to the study of canonical heights , post-critically finite maps , and primitive divisors in arithmetic dynamics . His research often bridges complex dynamics with number theory, exploring the interplay between Galois representations , Drinfeld modules , and polynomial iterations . Patrick has received the Top Cited Article 2007 - 2011 award from the Journal of Number Theory . He collaborates with leading mathematicians in arithmetic dynamics, including Joseph H. Silverman , and has published extensively in top-tier journals such as the Duke Mathematical Journal , Proceedings of the London Mathematical Society , and Transactions of the American Mathematical Society . His work spans both theoretical advancements and computational techniques in algebraic divisibility sequences and rigidity theorems .

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

Cameron Franc is an Associate Professor in the Department of Mathematics & Statistics at McMaster University. He holds a Ph.D. from McGill University (2011) and a B.Sc. from Queen's University (2006). His research focuses on number theory, algebraic geometry, and vertex operator algebras, with a particular emphasis on modular forms and their applications. He has contributed to topics such as p-adic analysis, representation theory, and Fuchsian groups. Teaching responsibilities include advanced courses like Cryptography (MATH 3CY3), Algebra I (MATH 701), and Number Theory (MATH 3H03), reflecting his expertise in foundational and specialized mathematical areas. He has published extensively in journals such as Communications in Algebra, Mathematika, and Canadian Journal of Mathematics. His work bridges pure mathematics with interdisciplinary applications, including studies in automorphic forms and geometric structures. Research highlights include exploring unbounded denominators conjectures, p-adic vertex algebras, and vector-valued modular forms. Despite no explicit awards listed, his contributions to modular form theory and algebraic structures demonstrate significant scholarly impact.

• Number Theory
• Arithmetic Geometry
• Shimura Varieties
• +۵ مورد دیگر

Eyal Z. Goren is a Professor in the Department of Mathematics and Statistics at McGill University. His research focuses on arithmetic geometry, including studies of Shimura varieties, modular forms, complex multiplication, expander graphs, arithmetic dynamics, and mathematical cryptography. He is affiliated with the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA), a Montreal-based group in number theory. Goren’s work bridges pure mathematics and applications in cryptography, with notable contributions to the theory of supersingular elliptic curves and cryptographic hash functions derived from expander graphs. Education : PhD in Mathematics from the Hebrew University of Jerusalem (1996), advised by Ehud De Shalit. Teaching : Teaches advanced courses such as Higher Algebra I/II, Algebra 1/2/3/4, Number Theory, and specialized topics like Unlikely Intersections. Affiliations : Active member of CICMA and the CRM (Centre de Recherches Mathématiques), collaborating on seminars and research initiatives. Research Interests : Goren’s work emphasizes the interplay between number theory and geometry, with recent focus on p-adic dynamics, canonical subgroups, and Faltings heights. His studies on Picard modular forms and Shimura varieties explore geometric structures in positive characteristic and their arithmetic implications. Publications : Over 40 articles in leading journals, including Inventiones Mathematicae , Compositio Mathematica , and Journal für die reine und angewandte Mathematik . His book Lectures on Hilbert Modular Varieties and Modular Forms is a key resource in the field. Grants and Collaboration : Engaged in collaborative projects on expander graphs, post-quantum cryptography, and the geometry of abelian varieties with complex multiplication. His research is supported by grants from the NSERC and other agencies.

Asif Zamanمشاهده پروفایل

دانشیار

• Analytic Number Theory
• Probabilistic Number Theory
• Algebraic Number Theory
• +۷ مورد دیگر

Asif Zaman is an Associate Professor in the Faculty of Arts and Science at the University of Toronto. His research focuses on Analytic Number Theory , Probabilistic Number Theory , and Arithmetic Statistics , with applications to Algebraic Structures , L-functions , and Modular Surfaces . He has contributed to problems involving the distribution of prime numbers, zeros of L-functions, and mass equidistribution. Research highlights include work on the Chebotarev Density Theorem , Random Multiplicative Functions , and Binary Quadratic Forms . His recent publications address advanced topics such as Artin L-functions , GL(n) Sieve Methods , and Multiplicative Chaos in number theory. Zaman has co-authored articles with prominent researchers like James Thorner and Robert J. Lemke Oliver, focusing on non-vanishing properties, explicit density estimates, and Siegel zeros. Zaman teaches mathematics courses at the University of Toronto, including MAT237 Multivariable Calculus with Proofs and MAT198 Cryptology . His teaching philosophy emphasizes active learning, collaboration, and analytical skill development, inspired by resources like Mathematical Mindsets and the American Mathematical Society blog series.

Noriko Yuiمشاهده پروفایل

استاد

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

Noriko Yui is a Professor of Mathematics at Queen's University in Kingston, Ontario. She holds academic affiliations within the Department of Mathematics and Statistics under the Faculty of Arts and Science. Her research bridges number theory, algebraic geometry, and mathematical physics, with a focus on arithmetic geometry and mirror symmetry, particularly in the modularity of Calabi-Yau threefolds. Yui earned her B.S. from Tsuda College (1966) and her Ph.D. in Mathematics from Rutgers University (1974), supervised by Richard Bumby. She has held visiting roles at the Max-Planck-Institute in Bonn and Newnham College, University of Cambridge. Her work includes collaborations with Fernando Q. Gouvêa, notably proving the modularity of rigid Calabi-Yau threefolds over Q. Her research areas span arithmetic geometry, number theory, algebraic/differential geometry, and particle physics theory. Key contributions include studies on L-functions, mirror symmetry, and the applications of Calabi-Yau manifolds in physics. Since 2007, she has served as managing editor of the journal Communications in Number Theory and Physics . Yui co-authored influential works such as Generic Polynomials: Constructive Aspects of the Inverse Galois Problem and edited volumes like Mirror Symmetry V . Her research emphasizes interdisciplinary connections between mathematics and theoretical physics, particularly in string theory contexts.

Katrina Honigsمشاهده پروفایل

استادیار

• Algebraic Geometry
• Arithmetic Geometry
• Derived Categories
• +۳ مورد دیگر

Katrina Honigs is an Assistant Professor in the Department of Mathematics at Simon Fraser University (SFU), located on the unceded traditional territories of the Coast Salish peoples. Her research focuses on algebraic and arithmetic geometry, particularly varieties over fields of positive characteristic, Q-rational points, and derived categories of coherent sheaves. She earned her Ph.D. in Mathematics from UC Berkeley in 2015, preceded by an MASt from the University of Cambridge (2009) and a BA from Grinnell College (2008). Her research explores topics such as derived equivalences, abelian varieties, and geometric structures like Kummer varieties. Recent work includes studies on symplectic involutions, theta characteristics, and the Brauer-Manin obstruction on Calabi-Yau threefolds. Honigs has taught courses at SFU (e.g., Math 818, 817, 240) and previously at the University of Utah and University of Oregon. She actively contributes to academic service, organizing conferences like the Mathematics Research Community on Derived Categories and co-organizing the SFU Number Theory and Algebraic Geometry seminar. Honigs has authored or co-authored over 15 refereed articles and preprints, with a focus on categorical methods in algebraic geometry and arithmetic applications. Her outreach includes talks on Pythagorean triples and algebraic geometry for diverse audiences. Professional activities include participation in workshops at institutions like BIRS and Cornell, reflecting her engagement with both foundational and applied aspects of her field.

Carl Ho (Ngai Man)مشاهده پروفایل

استاد

• Power Electronics
• Heavy-Duty Electric Vehicles
• Renewable Energy Technologies
• +۵ مورد دیگر

Dr. Carl Ho (Ngai Man) is a Full Professor and Canada Research Chair in Efficient Utilization of Electric Power at the University of Manitoba's Price Faculty of Engineering, Department of Electrical and Computer Engineering. Appointed Associate Head (Electrical Engineering) in July 2021, he leads the Renewable-energy Interface and Grid Automation (RIGA) Lab established with CFI funding in 2014. His educational background includes: PhD in Electronic Engineering (2007), City University of Hong Kong MEng in Electronic Engineering (2002), City University of Hong Kong BEng in Electronic Engineering (2002), City University of Hong Kong Dr. Ho's research focuses on power electronics applications for sustainable energy systems, with particular expertise in power conversion technologies for electric vehicles, renewable integration, and smart grid infrastructure. His work bridges industrial application and academic innovation, evidenced by over 40 IEEE journal publications, 80 conference papers, and 20+ patents. Current research emphasizes wide-bandgap semiconductor applications, power hardware-in-loop validation, and DC microgrid architectures for remote communities. Analysis of his recent publications reveals a strong trend toward practical implementation of power electronics solutions, with increasing focus on GaN/SiC devices, grid-forming converters, and modular architectures for microgrids. His work consistently addresses real-world challenges in efficiency, reliability, and cost-effectiveness across renewable integration, electric transportation, and power quality domains. Notable awards include: Second Place Winner for 2018 IEEE Transactions on Power Electronics Prize Paper Multiple IEEE JESTPE Star Associate Editor Awards (2022-2023) IEEE TPEL AE Excellence Award (2023) Best Student Team Regional Award in IEEE Empower a Billion Lives 2019 As an active mentor, Dr. Ho supervises numerous graduate students across multiple cohorts and leads significant research initiatives including NSERC Discovery Grants, MITACS collaborations with Power Integrations Inc., Research Manitoba Innovation Proof-of-Concept Grants, and Natural Resources Canada projects on zero-emission heavy vehicles. His RIGA Lab serves as a hub for industry-academic collaboration with Manitoba Hydro and transportation sector partners. The RIGA Lab, completed in 2016 and renovated in 2019, houses specialized equipment for power electronics prototyping, real-time simulation, and hardware-in-loop testing. Current projects include advanced wireless EV charging, GaN-based controller development, and DC microgrid solutions for remote communities, with recent recognition including a visit from Prime Minister Justin Trudeau in April 2023.