جستجوی استاد راهنمای دانشگاهی

• Analytic Number Theory
• Zeros of L-functions
• Riemann Zeta function
• +۶ مورد دیگر

Habiba Kadiri is an Associate Professor in the Department of Mathematics and Computer Science at the University of Lethbridge's Faculty of Arts and Science, serving since 2016 after holding an Assistant Professor position from 2007-2016. Her academic foundation includes a PhD from Université de Lille (2002) and Master's from Université de Bordeaux I (1998). Her educational background includes: PhD in Mathematics, Université de Lille, 2002 Master in Pure Mathematics, Université de Bordeaux I, 1998 Kadiri's research centers on analytic number theory, employing analytical and computational approaches to investigate L-function zeros, prime distribution, and explicit results. She explores zero-free regions for Dirichlet and Hecke L-functions, Chebotarev's density theorem, and computational verification of theoretical bounds, with emphasis on practical applications in prime number theory. Her recent publications reveal dual scholarly engagement: advancing core number theory problems (e.g., explicit moment estimates for zeta functions) while promoting inclusive academic practices through structural reforms in conference organization. Major scientific recognition includes: NSERC Discovery Grants (2015-2020, 2020-2026) PIMS Collaborative Research Group leadership award (2022-2025) PIMS-BIRS Team-Up award (2024) SNAC EDI Excellence award (2023) Four consecutive ULethbridge Research Awards She actively mentors emerging researchers, currently supervising Natasha Dhiman's BSc project on Riemann zeta function moments and Emily Quesada-Herrera's PIMS-Simons postdoctoral fellowship. Her NSERC-funded research supports multiple Highly Qualified Personnel through the PIMS CRG initiative she co-leads. Kadiri co-directs the PIMS Collaborative Research Group 'L-functions in Analytic Number Theory,' organizing international workshops and BIRS research retreats that convene global experts to tackle prime number theorem generalizations and computational challenges in analytic number theory.

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.

Melanie Matchett Woodمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Statistics
• Arithmetic Geometry
• +۵ مورد دیگر

Melanie Matchett Wood is the William Caspar Graustein Professor of Mathematics at Harvard University. Her research spans number theory, arithmetic statistics, algebraic geometry, and probability theory, with a focus on distributions of class groups, Galois groups of unramified extensions, and random algebraic structures. She has been supported by prestigious awards including the Packard Fellowship, the NSF Waterman Award, and the MacArthur Fellowship. Her work connects number theory to topology through function field analogs, studying moduli spaces of curves and their statistical properties. She has made significant contributions to understanding the universality of random matrix cokernels and their applications to sandpile groups of graphs. Her editorial roles include the Journal of the American Mathematical Society and Algebra and Number Theory . Recent publications emphasize arithmetic topology, proving universality theorems for 3-manifold groups, and developing new heuristics for class group torsion. She organizes seminars on arithmetic statistics and topology-number theory interactions. Her teaching includes advanced courses like Algebraic Number Theory and Class Field Theory, with research supervision spanning PhD and undergraduate projects. Scientific Awards: Packard Fellowship for Science and Engineering National Science Foundation Waterman Award MacArthur Fellowship

Youness Lamzouriمشاهده پروفایل

استاد

• Analytic Number Theory
• Probabilistic Number Theory
• Character Sums and Exponential Sums
• +۷ مورد دیگر

Youness Lamzouri is a Professor of Mathematics at the Université de Lorraine, France, affiliated with the Institut Elie Cartan de Lorraine (IECL) and a Junior Member of the Institut Universitaire de France (IUF). His research focuses on analytic and probabilistic number theory, particularly character sums, L-functions, prime number distributions, and random multiplicative functions. PhD in Mathematics from Université de Montréal (2009) B.Sc. in Pure Mathematics from Université de Montréal (2004) He has contributed extensively to understanding extreme values in character sums, biases in prime number races, and statistical properties of L-functions. His recent work explores GCD graphs, random walks in number theory, and probabilistic models for prime distributions. He has received prestigious awards including the CMS Blair Spearman Doctoral Prize and NSERC Postdoctoral Fellowship. Currently, he supervises doctoral and master students and contributes to editorial boards of leading journals.

Jonathan Pakianathanمشاهده پروفایل

استاد

• Algebraic Topology
• Cohomology of Groups
• Lie Algebras
• +۳ مورد دیگر

Jonathan Pakianathan is a Professor of Mathematics at the University of Rochester's School of Arts & Sciences, Department of Mathematics. He holds a PhD from Princeton University (1997) and a BS in Mathematics and Physics from Caltech (1992). His research focuses on algebraic topology, cohomology of groups and Lie algebras, geometric combinatorics, and finite fields. He has held leadership roles, including Director of Graduate Studies (2014–2020) and Director of Undergraduate Studies (2003–2010). Notable awards include the Goergen Award for Excellence in Teaching (2014) and the Sloan Foundation Doctoral Dissertation Fellowship (1996). His research explores applications of topology and algebra in discrete geometry, often collaborating with Alex Iosevich and students. Recent work addresses topics like Fuglede's conjecture over finite fields, geometric configurations, and probabilistic methods in combinatorics. His articles frequently intersect harmonic analysis, group theory, and number theory, reflecting interdisciplinary strengths. Education : PhD, Princeton University, 1997 BS in Mathematics and Physics, Caltech, 1992 Awards : Goergen Award for Excellence in Undergraduate Teaching, 2014 Sloan Foundation Doctoral Dissertation Fellowship, 1996 H. J. Ryser Scholarship, 1991 Grants include an NSA Mathematical Sciences Grant (2016–2017, $110,000 total) with A. Iosevich. He advises numerous PhD students, many of whom now hold academic or research positions. His teaching spans undergraduate to graduate courses, including algebra, topology, and financial mathematics. Research groups and collaborations extend to geometric combinatorics, algebraic topology, and applications in physics and data science. Ongoing projects explore topological methods in discrete geometry and probabilistic structures over finite fields.

Philippe Michelمشاهده پروفایل

استاد

• Analytic Number Theory
• Arithmetic Geometry
• Exponential Sums
• +۴ مورد دیگر

Prof. Philippe Michel is a Professor in the Mathematics Institute at the École Polytechnique Fédérale de Lausanne (EPFL), where he leads research in the Number Theory group (TAN). His office is located at MA C3 634, Station 8, 1015 Lausanne, Switzerland. Michel received his education at ENS Cachan and obtained his PhD from Université Paris XI in 1995 under the supervision of E. Fouvry. His academic career includes positions as maître de conférence at Université Paris XI (1995-1998), full professor at Université Montpellier II (until 2008), before joining EPFL. Prof. Michel's research spans across analytic number theory and related fields. His work integrates diverse mathematical techniques including arithmetic geometry, exponential sums, sieve methods, automorphic forms and representations, L-functions, and more recently, ergodic theory. His research has significant implications for understanding the distribution of prime numbers, properties of L-functions, and connections between number theory and other mathematical disciplines. Michel has made substantial contributions to the study of Kloosterman sums, trace functions, and the analytic properties of families of L-functions. Peccot-Vimont prize Member of the Institut Universitaire de France Invited speaker at the 2006 International Congress of Mathematicians Member of the Academia Europaea (Academy of Europe) since 2011 Fellow of the American Mathematical Society since 2012 Prof. Michel serves on the editorial boards of several prestigious mathematical journals including Archiv der Mathematik, Journal of Algebra and Number Theory, Journal of the European Math. Society, and Journal of Number Theory. His research has been consistently funded by major mathematical institutions, supporting his work on analytic number theory and its applications. At EPFL, Prof. Michel leads the Number Theory group (TAN) within the Mathematics Institute, fostering research collaborations and mentoring young mathematicians. His team focuses on cutting-edge problems in analytic number theory, connecting with broader mathematical fields and maintaining strong international collaborations.

Julian Sahasrabudheمشاهده پروفایل

پژوهشگر

• Combinatorics
• Number Theory
• Graph Theory
• +۶ مورد دیگر

Dr. Julian Sahasrabudhe is a researcher at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) , University of Cambridge, affiliated with the School of Mathematics . His work focuses on combinatorics, number theory, and graph theory, with a emphasis on extremal problems and probabilistic methods. His recent research explores Erdős covering systems, Littlewood polynomials, and monochromatic subgraphs. Publications from 2018–2024 highlight applications of probability generating functions, arithmetic progressions, and density analysis in combinatorial structures. Contact details: jdrs2@cam.ac.uk , Room C2.08, Tel: 01223 337974. Personal homepage .

Grigory Mikhalkinمشاهده پروفایل

استاد

• Geometry
• Topology
• Tropical Geometry
• +۲ مورد دیگر

Grigory Mikhalkin is a Full Professor at the University of Geneva, where he has been a faculty member since 2008. He is considered one of the founders of Tropical Geometry, a domain of algebraic geometry governed by (max,+)-calculus where geometric objects degenerate to their piecewise-linear limits. He leads the "ALGEBRA AND GEOMETRY" research group at the university. Mikhalkin studied at Leningrad and Michigan State University under the supervision of Oleg Viro and Selman Akbulut. After receiving his PhD in 1993, he completed postdoctoral training at Princeton, Bonn, Toronto, Berkeley, and Harvard (1993-2000). He served as associate and then full Professor at the University of Utah before moving to the University of Toronto, eventually joining the University of Geneva in 2008. Mikhalkin's primary research areas are Geometry and Topology, with a particular focus on Tropical Geometry. His work bridges algebraic geometry with combinatorial structures, exploring how complex geometric objects can be understood through their piecewise-linear tropical counterparts. This approach has proven fruitful in solving problems in enumerative geometry and has connections to mathematical physics through the study of sandpile models and self-organized criticality. His research group actively explores the connections between tropical geometry, symplectic geometry, and real algebraic geometry, organizing regular seminars including the "Séminaire Fables Géométriques." The recent publications of Professor Mikhalkin demonstrate a strong focus on the intersection of tropical geometry with sandpile models and self-organized criticality. His work has evolved to examine tropical aspects of number theory, lattice sums, and even applications to economics through auction theory. A significant portion of his recent research explores the patterns and structures that emerge in sandpile models across various lattices and dimensions, connecting discrete mathematics with continuum limits through tropical techniques. Prize of the St. Petersburg Mathematical Society (1999) Silver Medal of the Mexican Mathematical Society (2011) Canada Research Chair (2004-2009) Friedrich-Wilhelm-Bessel Research Award of the Alexander-von-Humboldt Foundation (2007-2008) European Research Council Advanced Grant (2010-2015) Chair of Fondation Sciences Mathématiques de Paris (2013-2015) Mikhalkin has successfully advised several PhD students to completion, including Kristin Shaw (2011), Lionel Lang (2014), Nikita Kalinin (2015), Mikhail Shkolnikov (2017), and Johannes Josi (2018). His research has been supported by prestigious grants including the ERC Advanced Grant and the Canada Research Chair. He presented his work at the Bourbaki seminar in 2003 and was selected as a Geometry speaker at the International Congress of Mathematicians in 2006, highlighting the significance of his contributions to the field. Professor Mikhalkin leads the "ALGEBRA AND GEOMETRY" research group at the University of Geneva, which includes current members Thomas Blomme, Francesca Carocci, Aloïs Demory, Gurvan Mével, and Antoine Toussaint. The group has a strong track record of postdoctoral fellows and alumni, including notable researchers such as Ivan Bazhov, Johan Bjorklund, Rémi Crétois, and others. They organize several seminars including the "Séminaire Fables Géométriques" and have historical connections to the Battelle Seminar and Tropical working group Seminar.

Asif Ali Zamanمشاهده پروفایل

دانشیار

• Analytic Number Theory
• Probabilistic Number Theory
• L-functions
• +۷ مورد دیگر

Asif Ali Zaman is an Associate Professor in the Department of Mathematics at the University of Toronto's Faculty of Arts and Science. He specializes in analytic and probabilistic number theory, with applications to algebraic structures and arithmetic statistics. His work intersects prime distribution, zeros of L-functions, Chebotarev density theorem, random multiplicative functions, and binary quadratic forms, extending to elliptic curves, modular forms, and mass equidistribution. PhD in Mathematics (2017), University of Toronto NSERC Postdoctoral Scholar (2017–2019), Stanford University MSc in Mathematics (2012), University of British Columbia BSc in Mathematics (2010), Simon Fraser University His research leverages log-free zero density estimates, Deuring-Heilbronn phenomenon, and Artin's holomorphy conjecture to derive bounds for primes, ℓ-torsion class groups, and equidistribution on modular surfaces. Recent publications (2025–2022) focus on Tauberian theorems, multiplicative chaos, and large sieve inequalities. Grants include sponsored research on L-functions (2022–2027) and computational projects (2025). He supervises Masters and PhD students in number theory and teaches multivariable calculus and cryptology courses.

Jared Duker Lichtmanمشاهده پروفایل

استادیار

• Number Theory
• Analytic Number Theory
• Multiplicative Number Theory
• +۳ مورد دیگر

Jared Duker Lichtman is a Szegö Assistant Professor at Stanford University's Department of Mathematics, beginning in the 2024-25 academic year. Previously, he served as an NSF Postdoctoral Fellow at Stanford under Prof. Kannan Soundararajan. He completed his PhD at the University of Oxford in 2023, focusing on multiplicative number theory. His research centers on prime number distribution, multiplicative structures, and analytic number theory. Notably, he established a world record in studying primes' distribution within arithmetic progressions. His work bridges classical number theory with modern techniques like sieve methods and L-function analysis. Jared's publications explore topics such as the abc conjecture, twin primes, and Erdős problems. While no formal awards are listed, his groundbreaking contributions to prime distribution and multiplicative number theory mark him as a rising star in the field. His academic trajectory includes a focus on primes in arithmetic progressions, Goldbach conjecture extensions, and probabilistic number theory applications. Ongoing research likely continues this trajectory, with potential implications for cryptography and additive number theory.

Kevin Fordمشاهده پروفایل

استاد

• Number Theory
• Prime number theory
• Divisor theory
• +۵ مورد دیگر

Kevin Ford is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the Department of Mathematics within the College of Liberal Arts & Sciences. His research focuses on Number Theory, including prime number theory, divisor theory, probabilistic methods, and sieve theory, with notable contributions to the Riemann zeta function and divisor distribution. Ford is also an editor for Research in Number Theory and the Bulletin and Journal of the London Mathematical Society . His recent work explores topics such as large gaps between primes, composite polynomial values, and the concentration of divisors. Ford’s publications often bridge analytic and probabilistic techniques to address classical number-theoretic problems. Despite extensive contributions, no specific academic awards are explicitly listed, though his editorial roles highlight his influence in the field. He advises no listed students, though his research group and collaborations with leading mathematicians like Terence Tao and Dimitris Koukoulopoulos are evident in his publications. Ford’s academic presence includes organizing the Illinois Number Theory Seminar and maintaining an active research agenda in number theory and combinatorics.

• Scientific Computing
• GPU Computing
• Signal Processing
• +۵ مورد دیگر

Professor Wes Armour is a Professor of Scientific Computing at the University of Oxford and serves as the Associate Head of Department for Research in the Department of Engineering Science. He previously directed the Oxford e-Research Centre, an interdisciplinary research center within the Engineering Science Department. With over £31 million secured as PI or Co-I, his work spans supercomputing, signal processing, machine learning, computational fluid dynamics, and protein crystallography. Professor Armour's research focuses on extracting science from data through fundamental challenges in modeling, simulation, and data processing. His work draws from numerical analysis, signal processing, and machine learning to develop technologies enabling future scientific discoveries, particularly for the Square Kilometre Array (SKA) telescope. Key interests include GPU computing, high performance computing, and machine learning applications across diverse domains from radio astronomy to finance. As Director and Principal Investigator of JADE and JADE2, a 700-GPU machine, he established the UK's first national High Performance Computer facility dedicated to advancing Artificial Intelligence and Machine Learning. His research group has pioneered GPU applications across multiple fields, including Square Kilometre Array data processing, protein crystallography, and graphene simulations. Current projects span energy-efficient machine learning, stock price prediction in finance, prime number prediction in cryptography, and multi-modal CCTV data analysis. Professor Armour has been instrumental in developing real-time signal processing techniques for astronomical observations, including the ARTEMIS system for millisecond radio transient detection. His publications demonstrate consistent innovation in GPU-accelerated computing dating back to early work in 2008 on accelerating conjugate gradient routines for electron transport in graphene.

Diogo Almeidaمشاهده پروفایل

دانشیار

• Neurolinguistics
• Language Processing
• Cognitive Science
• +۳ مورد دیگر

Diogo Almeida is an Associate Professor of Psychology and Global Network Associate Professor of Psychology at New York University Abu Dhabi. His research focuses on neurolinguistics and language processing, employing methodologies such as MEG/EEG, fMRI, and cross-linguistic studies. He holds an MSc in Cognitive Science from the Ecole des Hautes Etudes en Sciences Sociales and an PhD in Linguistics from the University of Maryland, College Park. Prior to NYU Abu Dhabi, he held positions at the University of California, Irvine, and Michigan State University. Almeida’s research explores perceptual processes underlying language understanding, including syntactic structure processing, agreement phenomena, and the neural bases of lexical access. His work integrates behavioral experiments with neuroimaging techniques to investigate how linguistic structures are represented in the brain. Key areas include sentence processing selectivity in Broca’s area, cross-linguistic differences in agreement encoding, and the role of phonological and morphological features in real-time language comprehension. His publications span topics like masked priming effects, sociolinguistic influences on speech perception, and the reliability of experimental syntax methods. He leads the Language, Mind and Brain research group at NYU Abu Dhabi, focusing on interdisciplinary approaches to language cognition. Almeida has contributed to debates on empirical rigor in syntax, advocating for robust experimental designs and large-scale data collection to validate theoretical claims.

Gilles Bonnetمشاهده پروفایل

استادیار

• Probability Theory
• Convex Geometry
• Stochastic Geometry
• +۳ مورد دیگر

Gilles Bonnet is an Assistant Professor at the Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence within the University of Groningen , Netherlands. He is also affiliated with the Groningen Cognitive Systems and Materials Center (CogniGron) . His academic journey includes a PhD from University of Osnabrück (2016) under Prof. Matthias Reitzner, followed by a postdoc at Ruhr University Bochum (2016-2021) . Research Interests: His work bridges Probability Theory and Convex Geometry , focusing on high-dimensional stochastic structures. Key areas include random polytopes , Poisson hyperplane tessellations , and geometric inequalities . He has explored phase transitions in random polytopes and combinatorial diameter bounds. Scientific Contributions: Co-organized the Workshop On Randomness and Discrete Structures (2025) and the Spring School and Workshop on Polytopes (2019). His 2016 paper on Poisson tessellation earned a best poster award at the 18th Stochastic Geometry workshop. Awards: Best poster award (2016) Teaching: Delivers courses on Probability and Measure , Random Geometry , and Stochastic Processes at the University of Groningen and Ruhr University Bochum.

• Analytic Number Theory
• Prime Number Distribution
• Additive Number Theory
• +۵ مورد دیگر

Prof. Alessandro Zaccagnini is an Associate Professor at the Department of Mathematical, Physical and Computer Sciences, University of Parma. He graduated in Mathematics in 1989 and obtained his PhD in 1994, focusing on Analytic Number Theory. His academic journey includes a competitive appointment as Associate Professor in 2004 after serving as a Researcher from 1993 to 2004. Education : PhD in Mathematics (1994), University of Parma Academic Positions : Researcher (1993–2004), Associate Professor (2004–present) His research spans Analytic Number Theory, focusing on additive problems like the Hardy-Littlewood conjectures, Goldbach representations, prime distribution in short intervals, Diophantine equations with primes, and Mertens' constants. He also contributes to Cryptography education. Key Research Areas Additive Number Theory (Goldbach, Goldbach-Linnik problems) Prime Distribution in Short Intervals Diophantine-type Problems with Prime Variables Mertens' Constant for Arithmetic Progressions Cryptography and Mathematical Education Recent publications include studies on Laplace convolutions, Cesàro averages for additive problems, and educational materials using everyday objects for mathematical teaching. His work bridges theoretical research (e.g., Riemann zeta function) and practical applications (e.g., cryptographic protocols). Teaching responsibilities include Mathematical Analysis , Cryptography , and Elementary Number Theory for undergraduate and graduate programs in Mathematics and Computer Science.