جست‌وجوی استاد و پژوهشگر

• 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.

• Algebraic Geometry
• Hyperkähler Manifolds
• Rozansky-Witten Invariants
• +۳ مورد دیگر

Prof. Dr. Marc Nieper-Wißkirchen is a University Professor (W3) for Algebra and Number Theory at the Institute of Mathematics, University of Augsburg, since 2008. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the University of Cambridge, and served as a Junior Professor at Johannes Gutenberg University Mainz (2004–2008). Since October 2021, he has been Vice Dean of the Faculty of Mathematics, Natural Sciences and Technology (MNTF). Education: Diploma in Mathematics (2000) from the University of Cologne, preceded by preliminary diplomas in physics (1997) and mathematics (1997). His doctoral studies (2000–2002) under Prof. Daniel Huybrechts focused on characteristic classes and Rozansky-Witten invariants of hyperkähler manifolds. His research spans algebraic geometry, differential geometry, and mathematical physics, with a focus on hyperkähler manifolds, Hilbert schemes of points, irregular singular connections, and Stokes phenomena. He has contributed to the understanding of Rozansky-Witten invariants, Chern numbers, and topological aspects of differential equations. Recent publications include works on Betti structures of hypergeometric equations (2022) and Stokes matrices for confluent hypergeometric equations (2022), reflecting his ongoing exploration of differential equations' geometric underpinnings. Earlier works address Hochschild homology, equivariant cohomology, and operads in algebraic contexts. His computational contributions include software demonstrations for elliptic curve arithmetic, Collatz sequences, and Google Matrix simulations. Technical expertise includes programming languages (TeX, PHP, HTML) and systems (Unix/Linux, Zope/Plone).

Alexandra Kjuchukovaمشاهده پروفایل

استادیار

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

Alexandra Kjuchukova is an Assistant Professor in the Department of Mathematics at the University of Notre Dame, affiliated with the College of Science. Her research focuses on topology with an emphasis on knot theory, branched covers, and geometric structures in low-dimensional topology. She holds a Ph.D. in Mathematics from the University of Pennsylvania, an M.F.A. in Poetry from New York University, and a B.A. in Mathematics from Harvard College. Education: Ph.D., Mathematics, University of Pennsylvania (2015) M.F.A., Poetry, New York University (2010) A.B., Mathematics, Harvard College (2008) Research Interests: Dr. Kjuchukova’s work explores topological branched covers of manifolds, knot invariants, and geometric topology. She investigates relationships between knot groups, bridge numbers, and meridional ranks, with applications to 4-manifold topology and exotic structures. Recent projects include studies on dihedral covers, Coxeter quotients, and the Gordian graph filtration. Publications: Her work appears in journals like Advances in Mathematics , Communications in Analysis and Geometry , and Mathematische Annalen . Key themes include dihedral branched covers, symmetric quotients of knot groups, and the interplay between knot theory and algebraic geometry. Affiliations & Office: Based at 152A Hurley Bldg, she contributes to the Regular Faculty roster in the Notre Dame Mathematics Department. No awards are explicitly listed in her profile.

Juanita Duque-Roseroمشاهده پروفایل

عضو هیئت علمی

• Computational Number Theory
• Arithmetic Geometry
• Modular Curves
• +۴ مورد دیگر

Juanita Duque-Rosero is a Research Assistant Professor at Boston University, specializing in computational number theory and arithmetic geometry. She collaborates with Jennifer Balakrishnan on explicit Chabauty methods and triangular modular curves. Her research focuses on rational points on curves, modular curves, and p-adic heights. Education: PhD from Dartmouth College (2023, advised by John Voight), Masters from Colorado State University (2019, advised by Rachel Pries), and undergraduate degree from Universidad de los Andes. Research interests include arithmetic properties of curves, geometric quadratic Chabauty, and computational aspects of modular forms. She has contributed to databases of Hilbert modular surfaces and studies of Artin-Schreier curves. Her recent articles explore invariants of curves, p-adic heights, and geometric methods in number theory. Talks include presentations at CIRM, IPAM, and Texas A&M. Teaching includes courses like Modern Algebra and Graph Theory at Boston University, and calculus courses at Dartmouth and Colorado State. She mentors students in algebraic geometry and number theory through directed reading programs. She advocates for equitable mathematics education through Federico Ardila’s axioms and participates in outreach activities. A creative hobby is mathematical origami, leading a club at Colorado State University.

Victor Flynnمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Abelian Varieties
• +۳ مورد دیگر

Victor Flynn is a Professor at the Mathematical Institute, University of Oxford, specializing in Number Theory and Arithmetic Geometry. He holds a PhD from the University of Cambridge and leads research in the Number Theory group at Oxford's Mathematical Institute, located at the Andrew Wiles Building. His research focuses on: Abelian varieties and Jacobians of curves Structure and visualization of Shafarevich-Tate groups Brauer-Manin obstructions in Diophantine equations Cryptographic applications of isogenies in genus two curves Arithmetic properties of algebraic surfaces and coverings Recent publications demonstrate a consistent focus on Tate-Shafarevich groups, with 2023-2024 works exploring p-torsion growth and Kummer surface isogenies. His research connects arithmetic geometry with post-quantum cryptography, particularly through genus two isogeny constructions.

Jochen Heinlothمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Algebraic Stacks
• +۷ مورد دیگر

Prof. Dr. Jochen Heinloth is a full Professor at the Faculty of Mathematics, University of Duisburg-Essen, where he leads a research group focused on algebraic geometry, moduli spaces, and algebraic stacks. He is actively involved in teaching, research, and seminar supervision, with a strong presence in both national and international mathematical communities. His research interests include Algebraic Geometry , Moduli Spaces , Algebraic Stacks , Higgs Bundles , and the Geometric Langlands Program . His work bridges abstract category-theoretic constructions with concrete geometric problems, particularly in the context of bundles and representations on algebraic curves. The most recent publications reflect a deep engagement with moduli theory, stability conditions, and geometric representation theory. Trends include the study of the P=W conjecture, support theorems for Hitchin fibrations, and structural results on algebraic stacks. His collaborations with leading mathematicians such as J. Alper, O. García-Prada, and Ngo Bao Chau highlight his central role in modern algebraic geometry. No scientific awards are mentioned in the provided text. Prof. Heinloth advises PhD students and junior researchers, as evidenced by his long-running Seminar on Stacks , where participants present advanced topics in algebraic geometry. He has supervised talks by X. Zhang, M. Zhou, and others, indicating active mentorship. While no grants are explicitly mentioned, his sustained research output and collaborations suggest ongoing funding support. He teaches a wide range of courses, from undergraduate algebra and analysis to advanced topics like Algebraic Geometry and Stacks. He leads the Research Group Heinloth , which organizes seminars and fosters collaboration on stacks, moduli, and related fields. The group hosts regular PhD-level seminars, often in collaboration with other researchers, and maintains a focus on both foundational and cutting-edge topics in algebraic geometry.

Rob Silversmithمشاهده پروفایل

مدرس

• Algebraic Geometry
• Moduli Spaces
• Tropical Geometry
• +۷ مورد دیگر

Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.

• Number Theory
• Algebraic Geometry
• Computational Algebra
• +۳ مورد دیگر

Jordi Guàrdia Rúbies is a Professor in the Department of Mathematics at the Universitat Politècnica de Catalunya (UPC), affiliated with the Faculty of Mathematics and Statistics (FME). He is a member of the UPC's STNB research group (Seminari de Teoria de Nombres de Barcelona), specializing in Number Theory and Algebraic Geometry. His work bridges theoretical research with educational innovation, particularly in Open Educational Resources (OER) for STEM fields. Affiliations: UPC, STNB Group, FME. Research Interests: Computational Algebra, Valuation Theory, Modular Forms, Mathematics Education. Recent research focuses on OER development, with contributions to collaborative platforms like Gate2Math. He has published extensively in journals like Journal of Algebra and Foundations of Computational Mathematics , addressing topics such as polynomial factorization over Henselian fields and valuation theory applications. Key awards include the Distinció Vicens Vives and UPC Quality Teaching Prize. He leads projects on OER quality assessment and has collaborated on EU-funded initiatives like the Erasmus+ Gate2Math program. His teaching contributions include innovative projects like Aprenentatge de l’Estadística basat en casos pràctics transversals , emphasizing practical case studies in statistics education.

Gregory R. Chambersمشاهده پروفایل

استادیار

• Metric geometry
• Geometric analysis
• Quantitative topology
• +۴ مورد دیگر

Gregory R. Chambers serves as an Assistant Professor in the Department of Mathematics at Rice University, conducting research at the intersection of metric geometry and geometric analysis. His work addresses quantitative topology, min-max theory, and isoperimetric inequalities, with applications in stability estimates and symmetrization methods. Chambers actively contributes to the academic community through co-organizing Rice University's Geometry Seminar. Education: B.S. from the University of Toronto (2009) Ph.D. from the University of Toronto (2014) Prior to joining Rice, Chambers held an L.E. Dickson Instructorship at the University of Chicago. His research program investigates geometric problems using quantitative approaches, with recent publications focusing on the square peg problem, geodesic nets, and monotone homotopies. Current work demonstrates a trend toward discrete geometric analysis, including cubical isoperimetric problems and Uryson width, while maintaining connections to classical minimal surface theory and stability of geometric inequalities. Scientific Awards: No awards documented in available sources. Advising and Grants: No information regarding student advisees or research funding is provided in the text. Labs and Teams: Chambers co-organizes Rice University's Geometry Seminar, facilitating collaborative research discussions in geometric mathematics.

Patricia Cahnمشاهده پروفایل

دانشیار

• Geometric Topology
• Low-Dimensional Topology
• Knot Theory
• +۲ مورد دیگر

Patricia Cahn is Associate Professor of Mathematical Sciences and Codirector of the Postbaccalaureate Program at Smith College. Her research focuses on geometric and low-dimensional topology, including trisections of 4-manifolds, branched coverings of 3- and 4-manifolds, and contact topology. Supported by an NSF CAREER grant. Education: Ph.D. and M.A. in Mathematics, Dartmouth College A.B. in Mathematics, Smith College Research explores: Algebraic invariants for topological intersections Knot theory under geometric constraints Branched coverings and dihedral invariants Computational methods in topology Publications demonstrate consistent focus on knot invariants and manifolds, with recent work on trisected branched covers (2023) and dihedral linking invariants (2021). Computational projects include algorithms for topological invariants. Grants: Currently funded by NSF CAREER award for research on branched covers in dimensions three and four. Teaching: Courses include Multivariable Calculus (MTH 212) and Topology (MTH 370) for 2024-2025. Laboratory: Leads computational topology projects with code repositories available on GitHub.

• Geometry and Topology
• Gauge Theory
• Knot Theory
• +۴ مورد دیگر

Hans Ulysses Boden is a Professor of Mathematics at McMaster University's Department of Mathematics and Statistics, specializing in Pure Mathematics with a focus on Geometry and Topology. His research centers on gauge theory, low-dimensional topology, knot invariants, and moduli spaces of flat connections. He has contributed to studies of virtual knots, character varieties, and generalized Casson invariants. Currently, his research team includes two postdocs, two graduate students, and one undergraduate student. Education: B.S. in Mathematics from the University of New Hampshire; Ph.D. in Mathematics from Brandeis University. Research interests span gauge theory, knot theory, and geometric topology, with recent work exploring periodicity in virtual knots, concordance invariants, and generalized Tait conjectures. Over 48 publications in the last decade include contributions to Algebraic and Geometric Topology , Communications in Analysis and Geometry , and Proceedings of Symposia in Pure Mathematics . His work integrates topological, algebraic, and geometric methods to address problems in knot theory and 3-manifold topology. Teaching includes courses on Algebraic Topology, Knot Theory, and Advanced Calculus. He has mentored multiple students, including Jie Chen (PhD 2023), Jeffrey Marshall-Milne (MSc 2025), and Jessie Meanwell (BSc 2023). Labs/Teams: Active in geometric topology research, with collaborations on virtual knot concordance and moduli spaces of flat connections.

Juanita Pinzón Caicedoمشاهده پروفایل

استادیار

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

Juanita Pinzón Caicedo is an Assistant Professor of Mathematics at the University of Notre Dame. She earned her Ph.D. in Mathematics from Indiana University (2014) and a B.Sc. in Mathematics from Universidad de los Andes, Colombia (2008). Her research focuses on geometric topology, particularly knot concordance, 4-manifolds, and the interplay between gauge theory and Floer homologies. She has held postdoctoral positions at the University of Georgia, NC State University, and the Max Planck Institute for Mathematics. Her research investigates trisections of 4-manifolds, satellite knots, and SU(2) representations. Notable contributions include work on concordance independence of iterated Whitehead doubles and foundational trisection diagrams. Awards include the David A. Rothrock Award (2013) and NSF FRG grants (2016). Dr. Pinzón Caicedo has taught over 20 courses, including topology and calculus, with 900+ students. She actively promotes diversity in mathematics, organizing conferences and mentoring programs. Her service includes roles at the AMS, GLBT Center at NCSU, and Women in STIM initiatives.

Angela Ortega Ortegaمشاهده پروفایل

پژوهشگر

• Algebraic Geometry
• Moduli Spaces
• Vector Bundles
• +۴ مورد دیگر

Dr. Angela Ortega Ortega is a permanent Researcher in the Institute of Mathematics at Humboldt University of Berlin , affiliated with the Faculty of Mathematics and Natural Sciences . She is an active member of the Algebraic Geometry research group , focusing on moduli spaces and vector bundles. Her primary research interests include: Geometry of moduli spaces of vector bundles on algebraic curves Brill-Noether theory Prym varieties and Abelian varieties Cyclic coverings and ramified coverings Hyperelliptic curves and trigonal constructions Her work bridges theoretical algebraic geometry with applications in mathematical physics and number theory. Analysis of her recent publications (2018-2024) reveals a concentrated focus on Prym varieties, with 12 of 15 articles exploring their structural properties, connections to moduli spaces, and applications to curve theory. Key trends include the study of cyclic/etale coverings (7 articles), ramification effects (5 articles), and genus-2 curve specializations (4 articles). Her collaborations with H. Lange, G. Farkas, and P. Borowka dominate her output, indicating strong international research networks. Dr. Ortega actively contributes to the academic community through organizational roles : she co-organized the Berlin-Hannover Algebraic Geometry Workshop (2023) and participates in major conferences including the Math AMSUD Workshop (2024) and XXIV Congreso Latinoamericano de Álgebra (2024). Her teaching portfolio includes core analysis courses for physicists and specialized graduate topics like Abelian Varieties and Representation Theory. She maintains laboratory collaboration through the Algebraic Geometry research group , engaging in long-term projects on moduli spaces with international partners across Germany, France, Chile, and Mexico. Current work focuses on cyclic coverings of genus-2 curves and Prym-Torelli theorems for ramified coverings.

• Geometry
• Topology
• Quantum Field Theory
• +۵ مورد دیگر

Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University, affiliated with the College of Letters & Science. His research bridges geometry, topology, and quantum field theory (QFT), with a focus on derived geometry and higher Lie theory. Research Interests: His work applies QFT techniques to geometric and topological problems, explores derived algebraic structures (e.g., L-infinity spaces, cosheaves), and investigates connections between renormalization group flows and sigma models. Recent publications address K-theoretic invariants, operadic structures in topology, and algebraic models for topological field theories. Scientific Awards: Stannard Award for Graduate Teaching (2021) NExT Fellow (2019) ICCM Best Paper Award (2018) Research Enhancement Grant (2018) Member, MSU Center for Faculty Excellence (2017) Education: Ph.D. and M.S. in Mathematics from the University of Notre Dame (2012, 2009), and B.S. in Mathematics from the Colorado School of Mines (2007). Students: Co-chaired Eric Berry (PhD 2021) and Adam Howard (PhD 2021), advised Garrett Oren (MS 2021), and mentored Bryce Morrow (BS 2023).

Dimitar Jetchevمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Mathematical Cryptology
• +۲ مورد دیگر

Dimitar Jetchev is a Swiss National Science Foundation Professor in number theory, arithmetic algebraic geometry, and mathematical cryptology at the School of Basic Sciences, EPFL. He leads the GR-JET research group and holds positions in the Mathematics Section (TAN) and SMA-GE unit. University of California at Berkeley, Ph.D. in Mathematics (2008) Harvard University, B.A. in Mathematics (2004) Jetchev's research spans number theory and cryptography, focusing on elliptic curves, Selmer groups, Euler systems, Heegner points, and complexity analysis of cryptologic algorithms. His work bridges pure mathematics and cryptographic applications like ECC and symmetric key protocols. His recent publications analyze isogeny graphs of abelian varieties, discrete logarithm problems in genus 2, equidistribution phenomena, and Euler systems. These works explore connections between automorphic representations, unitary groups, and cryptologic algorithms. Swiss National Science Foundation Professor Jetchev has advised PhD students including Boumasmoud Mohamed Réda, Dudeanu Alina, and Vuille Marius Lorenz. His research group GR-JET collaborates with institutions like IHES and EPFL's LACAL lab. He works on unitary Shimura varieties, special cycles, and their applications to Iwasawa theory and the Bloch-Kato conjecture. The GR-JET group investigates isogeny-based cryptosystems and algorithmic improvements in discrete logarithm computations.