جست‌وجوی استاد و پژوهشگر

Gregory Sankaranمشاهده پروفایل

استاد

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

Gregory Sankaran is a Professor of Pure Mathematics at the Department of Mathematical Sciences, University of Bath . His research bridges algebraic geometry, number theory, and computational mathematics. Research interests include: Algebraic geometry (especially moduli spaces of abelian varieties and K3 surfaces) Number theory (arithmetic properties of moduli spaces) Topology (fundamental groups of compactified varieties) Computer science (algorithmic algebraic geometry, cylindrical algebraic decomposition) Recent publications focus on Moduli spaces of abelian varieties (unirationality for g=4,5; stable rationality for g=3) Weighted Castelnuovo-Mumford regularity for scrolls Algorithmic improvements in CAD decomposition Geometric applications of toric varieties and compactifications Advisory roles: Current PhD student Corin Lee (jointly with James Davenport) 12 completed PhDs including Al Kasprzyk (toric geometry), Flora Poon (K3 surfaces), and Calla Tschanz (Hilbert schemes) Professional activities include: EPSRC Peer Review College member (2014–) EPSRC Strategic Advisory Team (2020–2024) Organizer of COW seminar (1992–2018) Co-investigator on EPSRC GCRF project EP/T001968/1 Scientific committee member for ICMS and Nesin Mathematical Village programs

Nils Bruinمشاهده پروفایل

استاد

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

Nils Bruin is a Professor in the Department of Mathematics at Simon Fraser University, where he has been a faculty member since 2003, rising from Assistant to Full Professor. He is affiliated with the SFU Algebraic and Arithmetic Geometry group, the SFU Number Theory group, and the Centre for Experimental and Computational Mathematics (CECM). He also serves as an Associate Editor for the journal Research in Number Theory . Ph.D. in Mathematics, University of Leiden, 1999 M.Sc. in Mathematics, University of Leiden, 1995 His research lies at the intersection of number theory and algebraic geometry, with a focus on Diophantine equations, rational points on algebraic varieties, Jacobians of curves, and computational methods in arithmetic geometry. He specializes in techniques such as Chabauty methods, descent via isogeny, and the study of Prym and symmetric differentials. His work often bridges theoretical insights with algorithmic implementation. The recent publications highlight a consistent focus on explicit computation in arithmetic geometry, particularly concerning genus 2 and genus 4 curves, endomorphism rings, descent methods, and their applications to hyperbolicity and rational points. His research combines deep theoretical number theory with practical computational tools, often implemented in systems like Magma. He has received the Stieltjes Prize (1999) for best thesis and the C.J. Kok Prize (1999) for research on covering techniques in number theory. Bruin has advised numerous graduate students, including M.Sc. and Ph.D. candidates, on topics such as 2-isogenies, Brauer-Severi varieties, and arithmetic aspects of the Burkhardt quartic. His work is supported by collaborations with leading mathematicians and participation in research seminars and workshops. He is a key member of the SFU Number Theory and Algebraic Geometry (NTAG) seminar and has contributed to software and computational tools for algebraic geometry and number theory.

• Machine Learning
• String Theory
• Calabi-Yau Manifolds
• +۳ مورد دیگر

Yang-Hui He is a Professor at the School of Mathematics, Statistics and Actuarial Science , City, University of London . His research spans Machine Learning , String Theory , and Algebraic Geometry , with a focus on applying data science to mathematical and physical problems. His research interests include the intersection of Calabi-Yau manifolds , quiver gauge theories , and number theory . He has pioneered the use of neural networks to classify spacetime geometries, predict curve invariants, and analyze vacuum configurations in string phenomenology. Recent publications explore machine learning applications in classifying elliptic curves , modeling brane webs , and understanding quiver dynamics . His work often bridges abstract mathematics with computational methods, leveraging AI to uncover patterns in high-dimensional data from theoretical physics. Collaborations include co-authors such as K-H. Lee , J. Bao , E. Hirst , and V. Jejjala , reflecting a multidisciplinary approach to unsolved problems in supersymmetric theories and cosmology .

Tyler Kellyمشاهده پروفایل

استاد

• Algebraic Geometry
• Mirror Symmetry
• Mathematical Physics
• +۳ مورد دیگر

Tyler Kelly is a Professor of Pure Mathematics at Queen Mary University of London (QMUL), affiliated with the School of Mathematical Sciences and the Centre for Combinatorics, Algebra, and Number Theory (CeCANT). He holds a PhD from the University of Pennsylvania and has held postdoctoral positions at the University of Cambridge and the University of Birmingham. His research focuses on algebraic geometry, mirror symmetry, and their intersections with mathematical physics and combinatorics. He currently leads a UKRI Future Leaders Fellowship and an EPSRC Small Grant. Education: PhD in Mathematics (University of Pennsylvania), NSF Graduate Research Fellowship Former Affiliations: Postdoctoral Fellowships at University of Cambridge (NSF/EPSRC funded) and University of Birmingham (2020–2025) Honorary Positions: Honorary Professor at University of Birmingham and Associate Fellow at Homerton College, Cambridge His research interests span algebraic geometry, mirror symmetry, derived categories, and hypergeometric motives. Key contributions include work on FJRW theory, categorical resolutions, and exceptional collections in Calabi-Yau geometries. Recent publications explore topics like r-spin invariants, toric exoflops, and K3 quartic pencils. Awards include the UKRI Future Leaders Fellowship, EPSRC grants, and NSF postdoctoral fellowships. He has supervised multiple PhD students (e.g., Rob Maher, Aimeric Malter) and postdocs (e.g., Dan Kaplan, Qaasim Shafi). His grants support cutting-edge projects in algebraic geometry and homological algebra. He serves on diversity committees, including the London Mathematical Society’s Women and Diversity in Mathematics Committee and the REF 2029 People Diversity Advisory Panel. Co-chair of the LGBTQ+ STEM Project, he co-organized major conferences like Spec(ℚ̄[2πi]) and LGBT STEMinars. His work prioritizes LGBTQ+ inclusion in STEM and sustainable academic collaboration networks.

Aravind Asokمشاهده پروفایل

استاد

• Algebraic Geometry
• Representation Theory
• A¹-Homotopy Theory
• +۳ مورد دیگر

Aravind Asok is a Professor of Mathematics at the University of Southern California (USC). He holds a Ph.D. from Princeton University (2004) and B.S. degrees in Mathematics and Physics from Pennsylvania State University (1999). His research focuses on A¹-homotopy theory, algebraic geometry, representation theory, and their intersections with topology and the history/sociology of mathematics. Research Interests: Asok specializes in applying Morel-Voevodsky A¹-homotopy theory to study arithmetic and algebraic structures. Recent work bridges algebraic geometry with social aspects of mathematics, such as the historical development of projective modules. Key areas include motivic homotopy groups, vector bundles, Euler class groups, and algebraization of topological structures. Publications & Trends: His recent articles explore unstable motivic homotopy, real-étale cohomology (2025), social history of projective modules (2024), P¹-stabilization (2023), and Euler class theory (2022). These works highlight interdisciplinary approaches, linking homotopy theory to algebraic K-theory and geometric classification. Roles & Collaborations: Asok serves as a handling editor for Advances in Mathematics and New York Journal of Mathematics . Collaborators include Tom Bachmann, Jean Fasel, and Michael Hopkins. He has co-authored over 40 papers, addressing topics like motivic spheres, unimodular rows, and A¹-connectedness. Awards & Grants: While no explicit awards are listed, his sustained contributions to foundational areas of algebraic geometry and homotopy theory reflect significant academic recognition. His work has been supported by research grants and fellowships, including EPSRC (2004–2005) and MSRI postdoctoral roles. Teaching & Outreach: Asok teaches advanced courses in algebraic geometry and algebra at USC, including Math 614 (Algebraic Groups) and Math 610 (Fourier Transform) . He actively engages in seminar presentations and public lectures on A¹-homotopy theory’s geometric applications.

• Geometry in valued fields
• Arithmetic in valued fields
• Model-theoretic methods
• +۵ مورد دیگر

Prof. Halupczok is a Professor at the Chair of Algebra and Number Theory within the Faculty of Mathematics and Natural Sciences at Heinrich Heine University Düsseldorf (HHU). His research focuses on advanced mathematical areas combining geometry, arithmetic, and model theory in valued fields. Key areas include singularities, stratifications, motivic integration, and representation theory of reductive groups over local fields. He also contributes to combinatorics, specifically polyomino games, zero-sum problems, and covering codes. Additional expertise includes model theory of (pseudo-)finite fields and representation theory of real reductive groups and symmetric varieties. Education details are not explicitly provided in the text. His current role emphasizes interdisciplinary research bridging algebra, geometry, and logic. No specific grants, awards, or academic advising details are mentioned here.

Akshay Venkateshمشاهده پروفایل

استاد

• Number Theory
• Algebraic Topology
• Representation Theory
• +۳ مورد دیگر

Akshay Venkatesh holds the Robert & Luisa Fernholz Professorship in the School of Mathematics at the Institute for Advanced Study (IAS). He is renowned for his work at the intersection of number theory and topology, particularly in exploring algebraic structures related to the topology of locally symmetric spaces. Previously, he served as a Professor of Mathematics at Stanford University (2008–2018) and held positions at the Courant Institute and MIT. Venkatesh's research bridges diverse areas including representation theory, dynamics, and algebraic topology, with a focus on the Langlands program and motivic cohomology. Educations: PhD in Mathematics, Princeton University (2002) B.Sc. in Mathematics, University of Western Australia (1997) Research Interests: Venkatesh investigates the profound connections between number theory and geometry, such as the analogy between prime numbers and knots. He explores the topology of locally symmetric spaces, which encode arithmetic information through their cohomology and geometric structures. His work often reveals unexpected links between algebraic varieties, modular forms, and geometric invariants. Key Contributions: His studies on the topology of locally symmetric spaces have advanced understanding of the Langlands program and motivic cohomology. He has pioneered methods to decode arithmetic properties (e.g., solutions to polynomial equations modulo integers) through topological invariants of geometric spaces. Awards and Honors: Fields Medal (2018) Ostrowski Prize (2017) Infosys Prize (2016) SASTRA Ramanujan Prize (2008) Salem Prize (2007) Honorary Doctorate, University of Western Australia (2019) Labs/Teams: Venkatesh led a special program on analysis and topology of locally symmetric spaces at IAS (2017–2018), fostering interdisciplinary collaborations in number theory and topology. His research often intersects with algebraic geometry and representation theory.

Michael Lönneمشاهده پروفایل

استاد

• Algebraic Geometry
• Topology
• Moduli Spaces
• +۵ مورد دیگر

Prof. Dr. Michael Lönne is a Professor at the University of Bayreuth's Faculty of Mathematics, Physics, and Computer Science, holding a position in the Mathematical Institute (Chair VIII). His research focuses on algebraic geometry, topology, and their intersections with monodromy theory, moduli spaces, and braid groups. His work explores topics such as fundamental groups of discriminant complements, monodromy groups of elliptic surfaces, and the topology of moduli spaces for algebraic curves and surfaces. He has contributed significantly to understanding braid monodromy in singularities and Hurwitz spaces, as well as applications of topological methods to problems in algebraic geometry and condensed matter physics. Recent research highlights include studies on Zariski multiplets, genus stabilization in moduli components, and topologically protected transport of colloidal particles. His interdisciplinary work bridges pure mathematics with applications in physics, notably in topological protection mechanisms in dissipative systems. Lönne collaborates internationally, evidenced by co-authored papers with researchers like Fabrizio Catanese and Thomas M. Fischer. His publications span prestigious journals like Duke Mathematical Journal, Geometry & Topology, and Nature Communications.

Michael Gide JABBOURمشاهده پروفایل

دانشیار

• Quantum Information Theory
• Quantum Optics
• Mathematical Physics
• +۶ مورد دیگر

Michael Gide JABBOUR is an Associate Professor in Quantum Communication at Télécom SudParis, part of the Institut Polytechnique de Paris . He is affiliated with the ISTeC institute and the Department of Communications, Images, and Information Processing (CITI). His research focuses on quantum information theory, quantum optics, and mathematical physics, particularly in infinite-dimensional systems. Key areas include entropy continuity bounds, bosonic quantum channels, and quantum interference phenomena. Education and Career: PhD from École polytechnique de Bruxelles (2015), thesis: Bosonic systems in quantum information theory Postdoctoral fellowships at University of Cambridge (2016-2018), Technical University of Denmark (2018-2019), and École polytechnique de Bruxelles (F.R.S.-FNRS Senior Fellow) Joined Télécom SudParis as Associate Professor in 2020 Research Interests: Explores fundamental aspects of quantum information through entropy analysis, Gaussian channels, and bosonic systems. Recent work addresses entanglement engines, timelike quantum interference, and majorization principles in quantum phase space. His studies bridge quantum thermodynamics with mathematical rigor, emphasizing non-Gaussian operations and infinite-dimensional systems. Publications: 15+ peer-reviewed articles and preprints since 2015, including high-impact journals like Physical Review Letters , IEEE Transactions on Information Theory , and Quantum . Key themes include entropy continuity, bosonic Gaussian states, and quantum interference in time. Future Work: Current projects involve boson-fermion complementarity, complexity of Gaussian optics, and central limit theorems for distinguishable bosons. Ongoing collaborations span quantum thermodynamics and foundational entropy principles.

Christina Areizaga Barbieriمشاهده پروفایل

دانشیار

• Mathematics Education
• Cognitive Science
• Learning Sciences
• +۳ مورد دیگر

Dr. Christina Areizaga Barbieri is an Associate Professor at the University of Delaware’s School of Education, specializing in Educational Statistics and Research Methods and the Learning Sciences. She directs the M^3 Lab: Math Methods & Motivation, focusing on improving mathematics education for underrepresented students through cognitive and learning sciences principles. Her work emphasizes instructional tools, classroom climates fostering positive attitudes toward math, and addressing misconceptions in algebra and fractions. Barbieri holds a Ph.D. in Educational Psychology from Temple University and has held postdoctoral and research roles at the University of Delaware. She advises Ph.D. students in Learning Sciences and Educational Statistics, and mentors undergraduates through programs like UDRAW and SOURCE. Education: Ph.D., Educational Psychology, Temple University, 2015 M.Ed., Educational Psychology, Temple University, 2014 B.A., Psychology, City University of New York, 2010 Research Interests: Mathematics education equity, cognitive and learning sciences applications, fraction and algebra learning, instructional design, and student motivation in STEM. Grants & Awards: Recipient of the Cognitive Development Society Diversity Award (2015), Kappa Delta Pi (2013), and NSF/IES grants totaling over $4 million. Recent grants include studies on foundational fraction concepts and geometry learning interventions. Labs & Teams: Director of the M^3 Lab, collaborating with graduate and undergraduate researchers on projects addressing math education challenges and equity.

• Post-Quantum Cryptography
• Zero-Knowledge Proofs
• Isogeny-Based Cryptography
• +۳ مورد دیگر

Professor Craig Costello is a leading cryptographer at the Queensland University of Technology (QUT) , affiliated with the Faculty of Science and the School of Computer Science . His work focuses on post-quantum cryptography , particularly isogeny-based and lattice-based cryptographic constructions , contributing to global efforts in securing digital infrastructure against quantum computing threats. Notable research trends include: Advancements in supersingular isogeny key exchange (SIKE/SIDH) Exploration of pairing-friendly abelian varieties for cryptographic cycles Efficient genus 2 isogeny algorithms and Kummer surface optimizations Development of twin smooth integer detection for cryptanalysis His publications emphasize quantum-resistant protocols , mathematical foundations , and practical cryptographic implementations . Contact: craig.costello@qut.edu.au

Aurelian Claudiu Volfمشاهده پروفایل

دانشیار

• Algebraic number theory
• Ring theory
• Near-rings
• +۴ مورد دیگر

Roles & Affiliations: Associate Professor at Faculty of Mathematics, Al. I. Cuza University since 2002. Chancellor of the Faculty (2004-2008). Member of Romanian Society of Mathematical Sciences, American Mathematical Society, and Romanian Society of Fuzzy Systems. Conducts research in algebraic number theory, fuzzy structures, and ring theory. Education: PhD in Pure Mathematics from Université Paris-Sud (1995) with thesis on L-function local constants. Master's (DEA) in Pure Mathematics (1991) and BSc from Al. I. Cuza University (1987). Research Interests: Specializes in algebraic structures including rings/modules, near-rings, and fuzzy algebraic systems. Key achievements include characterizing d-rings via Jacobson radical, proving conjectures on L-function root numbers, and developing fuzzy ring quotient constructions. Active in algebraic coding theory and hyperstructure applications. Grants & Recognition: Directed CNCSIS project (2001). Authored 8 books including Ring Arithmetic, Field Extensions and Applications (2005) and Introducere in teoria codurilor (2013). Presented at over 20 conferences including NATO Advanced Research Workshop (2001). Holds II Prize from 1984 National Student Conference. Teaching: Courses include General Abstract Algebra, Galois Theory, and Cryptography. Developed curricula for master's programs in coding theory and pedagogical methods in algebra instruction.

Mahesh Agarwalمشاهده پروفایل

دانشیار

• Number Theory
• Data Science
• Geometry
• +۱ مورد دیگر

Mahesh Agarwal is an Associate Professor and Chair of the Department of Mathematics and Statistics at the University of Michigan-Dearborn, affiliated with the College of Arts, Sciences, and Letters. He holds a Ph.D. in Mathematics from the University of Michigan, Ann Arbor, and completed postdoctoral work at McMaster University. Education: B.Sc. (Delhi University), M.Sc. (Indian Institute of Technology, Kanpur), Ph.D. (University of Michigan, Ann Arbor) Dr. Agarwal’s research lies at the intersection of Number Theory and Data Science , with additional contributions to Geometry and Mathematics Education . His Number Theory work focuses on p-adic L-functions, Bloch-Kato conjecture, and automorphic forms, while his Data Science research emphasizes curriculum development and clinical informatics. His geometric studies explore duality in inscribed ellipses and inheritance relations in convex polygons. His publications span journals like the Journal of Number Theory , Mathematische Zeitschrift , and the Journal of the American Medical Informatics Association . Key themes include L-function arithmetic, geometric dualities, and data science education. Awards: National Board of Higher Mathematics Scholarship (1999-2001), multiple Outstanding Graduate Instructor awards (2006, 2007), Best Model for Engaging Students Virtually (2016) Dr. Agarwal has contributed to implementing WeBWork, an online assignment platform, and has supervised research in Number Theory and Data Science. He has also collaborated with institutions like Harvard Medical School and Bentley University.

• Mathematics Education
• Curriculum Development
• Teacher Training
• +۳ مورد دیگر

David Rock is Dean of the School of Education and Professor of Curriculum & Instruction at the University of Mississippi. He holds a B.S. in Mathematics from Vanderbilt University (1987), an M.A. in Mathematics Education (1994), and an Ed.D. in Teacher Education (1998) from the University of Central Florida. Ph.D.: Curriculum & Instruction, University of Central Florida (1998) M.A.: Mathematics Education, University of Central Florida (1994) B.S.: Mathematics, Vanderbilt University (1987) Rock’s research focuses on mathematics education, curriculum development, and pedagogical strategies to reduce math anxiety. He is a prolific author, co-writing 16 books including Teaching Secondary Mathematics (2024) and Teaching K-6 Mathematics (2002). He developed the Internet Math Contests , which engage students globally in collaborative problem-solving. The 15 most recent publications (2024–2008) span algebraic teaching, calculus readiness, statistics pedagogy, and emotional learning strategies. His work integrates technology and addresses equity, particularly in reducing stigma around mathematical struggle. Rock co-heads the National Center for School-University Partnerships and has taught mathematics at middle and high school levels in Florida and Mississippi. He is married to Michelle, a former elementary teacher, and has four children.

• Formal Verification
• Theorem Proving
• Hybrid Systems
• +۱۲ مورد دیگر

Paul Jackson is a Senior Lecturer in the School of Informatics at the University of Edinburgh and serves as Director of the Artificial Intelligence and its Applications Institute (AIAI). He is also affiliated with the Laboratory for Foundations of Computer Science (LFCS) and is an associate member of the Institute for Computing Systems Architecture (ICSA). His work bridges theoretical and applied aspects of formal methods in computer science. Education PhD and MS in Computer Science, Cornell University (1988–1995) MS in Physics, Cornell University (1986–1988) Undergraduate in Engineering, University of Cambridge (1981–1984) Paul Jackson's research focuses on formal verification, particularly the development and application of tools for verifying software, hardware, and hybrid systems. His primary interests include interactive theorem proving (using Lean, Isabelle, and KeYmaera), formal verification of hybrid and cyber-physical systems, non-linear arithmetic, and the integration of symbolic computation with deduction. He has worked extensively with the Nuprl theorem prover and contributed to tools like Victor for SPARK/Ada verification. His recent publications emphasize compositional verification, validated integration using Taylor models, invariant generation for polynomial systems, and dynamic proof presentation. He has been involved in multiple EPSRC and UKRI-funded projects, including work on trustworthy autonomous systems and cache coherence protocols. Scientific Awards and Recognition No specific awards are listed in the provided text. Paul Jackson has advised several PhD students, including Ramon Fernández Mir, Kristjan Liiva, Andrew Sogokon, and Grant Olney Passmore, many of whom have gone on to influential roles in academia and industry. He has held significant administrative roles, including Senior Tutor and Senior Director of Studies, and has contributed to major conferences such as CAV, CICM, and CADE as program committee member or chair. His teaching includes courses on formal verification, automated reasoning, and software engineering.