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İlkay GüvenView profile

Professor

• Differential Geometry
• Curve Theory
• Surface Theory
• +3 more

Professor İlkay Güven is a faculty member in the Department of Mathematics at Gaziantep University's Faculty of Arts and Sciences, where she has served since 2011. She was promoted to Professor in 2022 after serving as Associate Professor (2018-2022) and Assistant Professor (2011-2018). Her academic career focuses on differential geometry, curve and surface theory, and special number sequences. Her educational background includes: Doctorate in Mathematics from Ankara University (2006-2011) Master's in Mathematics with thesis from Ankara University (2004-2006) Bachelor's in Mathematics from Ankara University (2000-2004) Professor Güven's research primarily centers on differential geometry with special emphasis on curve theory, surface classification, and special number sequences. Her work explores directional curves, spherical indicatrices, ruled surfaces, and their applications in various mathematical frameworks including Lie groups and alternative frame systems. She has made significant contributions to the understanding of W-direction curves, Bertrand curves, and the geometric properties of special number sequences like Fibonacci and Leonardo numbers. Her publication record shows a consistent focus on geometric structures with increasing specialization in directional curve theory and special number sequences. Recent work demonstrates sophisticated integration of algebraic structures with geometric analysis, particularly in the application of quaternions and dual numbers to curve theory. Her scientific achievements include: Public Domestic PhD Scholarship from TÜBİTAK (2006) Public Domestic Master's Scholarship from TÜBİTAK (2005) Professor Güven has actively mentored graduate students, supervising one doctoral thesis and nine master's theses to completion. Her advisees have explored diverse topics including hyper-dual spheres, polynomial space curves, and directional vectorial moment curves. While specific grant information isn't detailed in the provided text, her scholarship history suggests early career research support from Turkey's primary scientific funding agency.

Yasushi HommaView profile

Professor

• Geometry
• Basic analysis
• Spin geometry
• +4 more

Yasushi Homma is a Professor in the Department of Mathematics at Waseda University's School of Fundamental Science and Engineering. He has held this position since 2012, following his promotion from Associate Professor (2007-2012). His academic career includes research positions at Tokyo University of Science and the Japan Society for the Promotion of Science. Homma earned his Doctor of Science degree from Waseda University, where he completed his doctoral, master's, and undergraduate studies in Mathematical Science. Homma's research focuses on advanced geometric structures, particularly spin geometry and differential geometry. His work explores spinor fields, Dirac operators, Clifford analysis, and Rarita-Schwinger fields on various manifolds. He investigates Weitzenböck formulas, spectral properties of geometric operators, and their applications to mathematical physics. His research bridges pure mathematics with theoretical physics, examining how geometric structures relate to physical phenomena. Analysis of his publication record reveals a consistent focus on spin geometry and related fields over two decades. His most recent work examines spinor and tensor fields with higher spin on spaces of constant curvature, spectra of the Rarita-Schwinger operator on symmetric spaces, and harmonic analysis on Grassmannians. The research demonstrates deep connections between representation theory, differential geometry, and mathematical physics, with applications to understanding fundamental geometric structures. Waseda University Teaching Awards 2017 Fall Semester Homma has secured multiple research grants from the Japan Society for the Promotion of Science, including projects on Spin Geometry and Clifford Analysis (2024-2029), New developments in spin geometry (2019-2023), and Study on identities for generalized gradients (2015-2018). His international collaborations include work with researchers from University of Stuttgart, University of Antwerp, and others. He teaches various mathematics courses including Linear Algebra, Geometry B1 (surface theory), Geometry B2 (theory of manifolds), and Advanced Geometry. As a member of the Mathematical Society of Japan Education Committee and various review committees for the Japan Society for the Promotion of Science, Homma contributes significantly to the mathematical community. His research laboratory at Waseda University focuses on advancing spin geometry with Rarita-Schwinger operators, exploring connections between geometric structures and physical theories.

Sun-Jeong KimView profile

Professor

• Computer Graphics
• Real-time Rendering
• Game Engines
• +3 more

Sun-Jeong Kim is a Professor at the Department of Computer Science within the School of Computer Science at Korea University . Her research focuses on real-time rendering techniques, GPU programming, and game engine optimization. Specializes in procedural modeling and interactive visualization Develops efficient rendering algorithms for virtual reality Active in graphics hardware acceleration and collision detection Her research has produced 15+ publications on topics including tessellation strategies, skeletal animation systems, and particle effect optimizations. While specific awards and students aren't detailed in the current text, her work demonstrates consistent contributions to real-time graphics and game development.

• Biomedical Signal Processing
• Respiratory Analysis
• Cardiovascular Monitoring
• +2 more

Daniel Romero Pérez is a Lecturer at the Department of Systems Engineering, Automation and Industrial Informatics within the Barcelona East School of Engineering (EEBE) at Universitat Politècnica de Catalunya (UPC). He maintains a research affiliation with the Institute for Bioengineering of Catalonia (IBEC) and leads projects in the BIOSPIN group focused on Biomedical Signal Processing and Interpretation. His research centers on biomedical signal processing with applications in respiratory/cardiac monitoring and disease diagnostics. Key interests include: Developing machine learning models for obstructive sleep apnea detection using ECG and respiratory signals Analyzing heart rate variability in cardiovascular disorders like Brugada syndrome Creating non-invasive respiratory monitoring systems for COPD patients Investigating hypoxia effects on cardiac electrophysiology Publication analysis (29 conference papers, 18 journal articles) reveals consistent focus on: Algorithm development for physiological signal interpretation Clinical validation of wearable sensors Multivariate modeling of cardiorespiratory pathologies Translational research bridging engineering and clinical medicine He collaborates extensively with European institutions on competitive R&D projects including 'Smart Health Ecosystem for Breathing Illnesses' and 'Unintrusive Remote Health Assessment'. Research outputs demonstrate strong emphasis on practical healthcare solutions with 16 open-access publications.

• Global Riemannian Geometry
• Differential Geometry
• Symmetry Groups
• +5 more

Megan Kerr is the Katharine and Claudine Malone '63 Professor of Mathematics at Wellesley College, where she focuses on global Riemannian geometry and the interplay between curvature constraints and symmetry groups. She holds a B.A. from Wellesley College and a Ph.D. in Mathematics from the University of Pennsylvania, advised by Wolfgang Ziller. Her research explores homogeneous and low-cohomogeneity spaces, emphasizing existence questions in geometric structures. She has held visiting positions at Brown University and the University of Arizona, and was a Radcliffe Institute Fellow. Her teaching spans calculus, linear algebra, real analysis, differential geometry, topology, and knot theory. She is dedicated to advancing women in mathematics, co-organizing initiatives like Sonya Kovalevsky Day. Her work often intersects Lie group theory, geometric analysis, and topology, with recent collaborations expanding into topological methods in geometry. Her research has taken her globally, including to Australia, Germany, and Mexico. Beyond academia, she enjoys running and maintaining an active lifestyle with her family and a faculty exercise group.

• Mathematics Education
• History of Mathematics
• Special Matrices
• +7 more

Sandra Ricardo is an Assistant Professor at the University of Trás-os-Montes and Alto Douro (UTAD), Portugal, with a strong academic foundation in Mathematics, holding a PhD from the University of Rouen, France, and a Master’s from the University of Coimbra, Portugal. She is actively engaged in research and educational projects with international impact. PhD in Mathematics, National Institute of Applied Sciences of Rouen, University of Rouen, France (2008) Master's in Mathematics, University of Coimbra, Portugal (2000) Her research interests include Mathematics Education, History of Mathematics, Special Matrices, k-Bronze Fibonacci Numbers, and Mechanical Control Systems. She emphasizes innovative teaching strategies and the integration of historical context into mathematical instruction. Her work bridges theoretical mathematics with practical applications in education and biomedical signal analysis. The most recent publications reflect a dual focus: one stream on advanced algebraic structures such as quaternion Gaussian Bronze Fibonacci numbers and matrix theory, and another on pedagogical innovations in teaching fractions, statistics, and problem-solving in early education. These works highlight her commitment to both pure mathematical research and transformative educational practices. Sandra is involved in significant international projects: TeachersMOD (Erasmus+, EACEA): Modernizing elementary school teacher training in Kurdistan (2023–2025) Mais Conhecimento Melhor Futuro (Calouste Gulbenkian Foundation): Enhancing math, Portuguese, and digital literacy in Guinea-Bissau (2022–2023) These initiatives aim to improve educational access and quality in underserved regions, focusing on curriculum development and teacher capacity building. Sandra has advised and collaborated on numerous research projects, particularly in mathematics education reform and control theory. While no formal list of advisees is provided, her publications indicate strong mentorship and collaborative leadership. She has not received publicly listed scientific awards in the provided text. She contributes to academic outreach through the CIIE (Center for Research in Educational Innovation) and LabDERE (Laboratory of Digital Experimentation and Research in Education), promoting digital tools and innovative pedagogies in educational settings.

Jayce R. GetzView profile

Professor

• Number Theory
• Automorphic Representations
• Arithmetic Geometry
• +4 more

Jayce R. Getz is a Professor in the Department of Mathematics at Duke University, specializing in number theory and related fields. His research focuses on automorphic representations and arithmetic geometry, with significant contributions to trace formulae and their applications. Dr. Getz received his academic training at prestigious institutions: Ph.D. from University of Wisconsin, Madison (2007) MS from University of Wisconsin, Madison (2006) M.A. from University of Wisconsin, Madison (2006) A.B. from Harvard University (2004) Professor Getz's research centers on the deep connections between automorphic forms, L-functions, and arithmetic geometry. He has made significant contributions to the theory of trace formulae, particularly in developing summation formulae for various algebraic structures. His work often bridges representation theory with number-theoretic applications, focusing on Shimura varieties and algebraic cycles. Getz's research provides crucial insights into the Langlands program and has implications for understanding the analytic properties of L-functions. His recent publications demonstrate a consistent focus on summation formulae, trace formulae, and their applications to automorphic representations. The research trajectory shows increasing sophistication in handling higher-rank settings and more complex algebraic structures, with a particular emphasis on quadratic forms and their generalizations. Getz has also contributed to foundational expository works that make advanced topics in automorphic representations more accessible. Professor Getz has been actively involved in mentoring the next generation of mathematicians: Current Ph.D. student: Jason Polak Postdocs mentored: Michael Lipnowski (2013-present), Fritz Hoermann (2010-2011) Undergraduate researchers supervised: Josh Izzard (2013-2014), Jamie Klassen (2012) His research is supported by multiple National Science Foundation grants: RTG: Linked via L-functions: training versatile researchers across number theory (2023-2028) Splicing summation formulae and triple product L-functions (2024-2027) Summation Formulae and Triple Product L-functions in Higher Rank (2019-2023) Professor Getz has also contributed to the mathematical community through conference organization, notably co-organizing the AIM workshop on Automorphic Kernel functions in December 2015.

• Probability
• Analysis
• Differential Geometry
• +3 more

Jing Wang is an Associate Professor of Mathematics and Statistics at Purdue University with a joint appointment in the Department of Mathematics and Department of Statistics. She holds affiliations within the College of Science. Her research is supported by the National Science Foundation (NSF) under grant DMS-2246817. Prior to her current position, she was a J.L. Doob Research Assistant Professor at the University of Illinois at Urbana-Champaign (2015–2018) and a postdoctoral fellow at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota (2014–2015). She earned her Ph.D. in Mathematics from Purdue University in 2014. Her research focuses on probability, analysis, and differential geometry, with applications to stochastic processes on manifolds, sub-Riemannian geometry, and geometric analysis. Key areas include spectral bounds for exit times, stochastic areas and winding numbers, and heat kernel analysis on non-Euclidean spaces. Notable contributions include work on the Hot Spots conjecture, hypoelliptic diffusions, and geometric stochastic models such as the Parabolic Anderson model on Heisenberg groups. Her recent studies explore large deviations principles for sub-Riemannian random walks and asymptotic behaviors of stochastic processes on complex manifolds. Funding: NSF DMS-2246817 supports her ongoing research in stochastic analysis and geometric probability.

• Deep Learning
• Artificial Intelligence
• Machine Learning
• +4 more

Stefano Coniglio is an Associate Professor of Computer Science and Artificial Intelligence at the University of Bergamo (UniBg), where he joined in 2022 after earning his PhD in Information Technology from the Polytechnic University of Milan in 2011 and conducting research abroad in Germany and the United Kingdom for ten years. His research focuses on deep learning models, machine learning using neural networks, algorithm design and analysis, and mathematical optimization. With over 50 scientific publications in international journals and conference proceedings, his work spans multiple domains including energy systems, medical applications, and theoretical computer science. Coniglio has made significant contributions to graph neural networks, as evidenced by his highly cited papers on quaternion-valued Laplacians and directional hypergraph neural networks. His research trends show a strong interdisciplinary approach, with publications bridging computer science with energy systems, cardiology, and mathematical optimization. His work on S-ICD screening demonstrates practical medical applications of deep learning, while his theoretical contributions to graph neural networks have advanced the field of geometric deep learning. Since November 2023, Coniglio has been a member of the UniBg Interdepartmental Working Group on Artificial Intelligence, collaborating on the design of an interdepartmental doctoral program in AI. He serves as the unit leader for the PRIN-PNRR project HEXAGON: Highly specialized EXact Algorithms for Grid Operations at the National level since 2023. Coniglio teaches Computer Science, Artificial Intelligence, and Deep Learning courses across multiple departments at UniBg, including the Department of Economics and the Department of Letters, Philosophy, and Communication. He has collaborated with major organizations including National Grid Plc, UK MetOffice, Airbus, Babcock International, British Telecom, CESI, and CISL, demonstrating strong industry connections and practical application of his research.

Bert GuillouView profile

Associate Professor

• Equivariant Homotopy Theory
• Algebraic Topology
• Homotopy Theory
• +3 more

Bert Guillou is an Associate Professor in the Department of Mathematics at the University of Kentucky, part of the College of Arts & Sciences. His research focuses on equivariant homotopy theory, homotopy theory, and their applications in algebraic topology. Guillou earned his Ph.D. from the University of Chicago (2008) under Peter May, and a B.S. in Mathematics and Philosophy from the University of Michigan (2002). He has held academic positions including Visiting Assistant Professor at the University of Illinois (2011-2012) and J.L. Doob Research Assistant Professor (2008-2011). His research interests emphasize foundational questions in equivariant stable homotopy theory, including models of G-spectra, slice filtration, and motivic cohomology. Guillou has advised multiple Ph.D. students, including Ang Li (now at UCSC) and Carissa Slone (Rochester). He is a recipient of significant grants, including the Simons Foundation Travel Support (2024-2029) and multiple NSF grants, and has delivered invited talks at institutions like the University of Chicago, Johns Hopkins, and international conferences. Teaching spans advanced courses like Topology I/II, Algebraic Topology, and specialized topics such as Chromatic Homotopy Theory and Equivariant Cohomology. His work bridges categorical structures, homotopy coherence, and computational methods in stable homotopy theory.

• Differential Geometry
• Noncommutative Geometry
• Lie Algebras
• +3 more

Henrik Winther is a Research Fellow at the UiT The Arctic University of Norway , affiliated with the Department of Mathematics and Statistics . His research focuses on differential geometry, noncommutative geometry, and the interplay between Lie algebras and geometric structures. Research Groups: Geometry and Mathematical Physics , MASCOT Projects: Cost Action CALISTA Winther’s research explores highly symmetric geometric configurations, including spin representations , para-complex structures , and quaternionic Hermitian geometries . His work often involves classifying structures via Lie algebraic methods and analyzing integrability conditions in noncommutative settings. Key trends in his publications include studies of 6-dimensional manifolds with non-degenerate tensors, projective orbits in semi-simple Lie groups, and invariant connections on isotropy irreducible spaces . Collaborators include Boris Kruglikov and Ioannis Chrysikos .

Florian EiseleView profile

Lecturer

• Modular Representation Theory
• Finite Group Algebras
• Algebra
• +3 more

Dr. Florian Eisele is a Lecturer in Pure Mathematics at the Department of Pure Mathematics, The University of Manchester. His research focuses on modular representation theory of finite groups and representation theory of finite-dimensional algebras. He holds a Doctor rerum naturalium (PhD) in Group Rings over the p-adic Integers from RWTH Aachen University, awarded in 2012. His research interests include finite group algebras, Picard groups, defect groups, and Zassenhaus conjectures. Notably, he has contributed to counterexamples in algebraic structures and explored topics like Morita Frobenius numbers and derived Picard groups. Eisele has published extensively on algebraic theories, including works on lattices, Hochschild cohomology, and Donovan’s conjecture. His 2021 Reinhold Baer Prize recognizes his impactful contributions. His articles frequently address advanced topics such as silting complexes, Tate duality, and block theory in modular representation contexts. He has investigated structures like generalized quaternion defect groups and 2-adic rings, contributing to the understanding of algebraic invariants and module theory. His work bridges abstract algebra with concrete examples, advancing both theoretical frameworks and specific problem solutions in representation theory.

Oksana ShatalovView profile

Teaching Professor

• Mathematics Education
• Undergraduate Mathematics
• Calculus Pedagogy
• +3 more

Oksana Shatalov is an Instructional Professor and Associate Head for APT Faculty Affairs in the Department of Mathematics at Texas A&M University. She holds a PhD and has been affiliated with the College of Arts & Sciences since her appointment. Her primary role involves teaching foundational mathematics courses and overseeing faculty affairs. Shatalov's research interests focus on mathematical problem-solving pedagogy, calculus education, and the application of geometric concepts in analysis. She has contributed to projects on cubature formulas and isometric embeddings, reflecting her expertise in advanced mathematical structures. Her teaching spans undergraduate courses such as Foundations of Mathematics, Calculus, and specialized graduate problem-solving seminars (e.g., MATH 645/646). She coordinates the Distance Masters Program and oversees academic initiatives like the SMaRT Camp for high school students. Shatalov actively participates in academic governance, advising on faculty development and curriculum design. Her work emphasizes bridging theoretical mathematics with effective educational practices, supported by her extensive publications in analysis and geometry.

Fran BurstallView profile

Professor

• Differential Geometry
• Theoretical Physics
• Harmonic Maps
• +3 more

Prof. Fran Burstall is a Professor in the Department of Mathematical Sciences at the University of Bath. His research focuses on geometric approaches to nonlinear equations in Differential Geometry and Theoretical Physics, particularly harmonic maps and isothermic surfaces using twistorial and soliton methods. He has contributed to Riemannian and parabolic geometries, with a strong emphasis on integrable systems and discrete differential geometry. Research interests include geometric analysis, conformal and Riemannian geometry, harmonic maps, and applications in mathematical physics. He has been involved in collaborative projects such as the Topology of Quaternionic Manifolds and Analysis and Partial Differential Equations, funded by The Royal Society and Engineering and Physical Sciences Research Council (EPSRC). His recent work explores harmonic Riemannian submersions, isothermic surfaces, and discrete geometry, with notable contributions to Lie applicable surfaces and quartic differential theories. Over 20 research outputs since 2016 highlight his expertise in geometric transformations and integrable systems. He has supervised 6 doctoral students and has an extensive publication record spanning discrete surfaces, conformal geometry, and symmetric spaces.

Richard ElmanView profile

Professor

• Algebra
• Quadratic Forms
• Algebraic Geometry
• +4 more

Richard Elman is a Professor of Mathematics at the University of California, Los Angeles (UCLA), affiliated with the Department of Mathematics. His research focuses on algebraic structures, particularly quadratic forms, Witt rings, and their connections to algebraic geometry and Galois cohomology. He has authored foundational texts like Lectures in Algebra and contributed to topics such as elliptic curves, linear algebraic groups, and cohomological dimensions. His work bridges abstract algebra with geometric and topological methods, influencing both pure and applied mathematical research. Elman's research interests include advanced algebraic theories such as quadratic form theory, Witt ring structure, and the interplay between algebraic geometry and number theory. He has explored topics like cohomological dimensions of fields, étale cohomology, and the classification of quadratic forms over various fields. His publications often address problems at the intersection of algebraic structures and geometric interpretations. His recent work (2019) continues the development of abstract algebraic frameworks, while earlier contributions (2008, 2006) delve into geometric and cohomological aspects of quadratic forms. Notable projects include studies on elliptic curves over local fields and the structure of Witt rings. Elman has also engaged in interdisciplinary efforts, such as public health research on reducing environmental tobacco smoke exposure in communities. Though no specific student or grant information is provided in the text, his extensive publication record indicates sustained academic contributions. His office is located in the Mathematical Sciences Building at UCLA, and he can be reached via email at rse@math.ucla.edu .