جست‌وجوی استاد و پژوهشگر

Belgin Ozerمشاهده پروفایل

استاد

• Algebra
• Number Theory
• Numerical Semigroups
• +۶ مورد دیگر

Professor Belgin Ozer is affiliated with Gaziantep University , where she serves in the Faculty of Arts and Sciences, Department of Mathematics . Her academic career spans roles from Research Assistant (2001-2011) to Assistant Professor (2011-2022), Associate Professor (2022-2024), and now Professor (2024-present). She holds a PhD in Algebra and Number Theory from Çukurova University (2010) and an MSc in Mathematics from Gaziantep University (2005). PhD: Çukurova University (2010) MSc: Gaziantep University (2005) BSc: Middle East Technical University (1998) Her research focuses on Numerical Semigroups , RF-Matrices , Gröbner Basis , and Almost Symmetric Semigroups . She has contributed to nearly 15 peer-reviewed journal articles and 21 conference presentations, with recent work on Arf numerical semigroups and homology of matrix semigroups. Key trends in her publications include studying Nearly Gorenstein semigroups , Quotient semigroups , and computational methods in semigroup theory. Her article keywords span Algebra , Number Theory , and Computer Algebra . Scientific Awards : YÖK SCHOLARSHIP (2010) Research Students Advised : 15 theses supervised, including topics on RF-relations, Arf semigroups, and ethics in mathematics. She participated in international collaborations at St Andrews University , Craiova University , and Jordan Private State University , focusing on semigroup theory and Gröbner basis applications.

Mark V. Sapirمشاهده پروفایل

استاد

• Combinatorial Algebra
• Group Theory
• Semigroup Theory
• +۳ مورد دیگر

Mark V. Sapir is the Centennial Professor in the Department of Mathematics at Vanderbilt University. His research spans combinatorial algebra, geometric group theory, and algorithmic properties of groups and semigroups. Research Interests: He explores algorithmic, geometric, and probabilistic invariants of groups, semigroups, and algebras. Key contributions include work on Thompson groups, Dehn functions, asymptotic cones, and residual finiteness. Recent Publications: His research focuses on divergence functions, isoperimetric spectra, and interactions between algebraic and asymptotic properties. Notable works include studies on subgroups of Thompson’s group F and conjugacy problems in groups with quadratic Dehn functions. Scientific Awards: Journal Pioneer Award (1970) for solving coin weight problems elegantly Grants & Collaborations: Supported by the National Science Foundation since 1992, Sapir has collaborated with leading mathematicians like A.Yu. Olshanskii and Victor Guba, advancing theories in HNN extensions and diagram groups. Editorial Roles: He serves as editor-in-chief of the Journal of Combinatorial Algebra and contributes to the editorial boards of Algebra and Discrete Mathematics , Groups Complexity Cryptology , and others.

• Algebraic Geometry
• Singularity Theory
• Hyperplane Arrangements
• +۶ مورد دیگر

Prof. Dr. Mathias Schulze is a full Professor at the Department of Mathematics, RPTU Kaiserslautern-Landau, leading the Department of Algebra, Geometry and Computer Algebra. His research spans algebraic geometry, singularity theory, hyperplane arrangements, D-modules, and computational algebra. Education & Affiliations RPTU Kaiserslautern-Landau, Professor, Department of Mathematics (current) Research Interests Prof. Schulze’s work lies at the intersection of algebraic geometry, commutative algebra, and singularity theory, with extensive contributions to the study of hyperplane arrangements, logarithmic differential forms, mixed Hodge modules, and categorical aspects of algebraic singularities. His recent focus includes triangulated categories, matrix factorizations, and the interplay between algebraic structures and geometric singularities. Publications & Trends His 2022–2025 publications demonstrate a strong emphasis on categorical and homological methods in singularity theory, exploring triangulated structures, matrix factorizations, and configuration polynomials. Earlier work delves into hypergeometric systems, logarithmic residues, and free divisors, reflecting a deep engagement with both theoretical and computational aspects. Teaching He regularly teaches foundational and advanced courses in algebra, algebraic geometry, commutative algebra, singularity theory, and computer algebra, catering to mathematics and computer science students.

George Fikiorisمشاهده پروفایل

استاد

• Antennas
• Electromagnetic Theory
• Numerical Methods
• +۵ مورد دیگر

George Fikioris is a Professor at the School of Electrical and Computer Engineering, National Technical University of Athens (NTUA). He holds degrees from NTUA and Harvard University, and has held academic positions since 2002, progressing to full Professor in 2017. His research focuses on electromagnetism, antennas, numerical methods, and applied mathematics. He authored/co-authored over 60 peer-reviewed papers and multiple books including 'Cylindrical Antennas and Arrays' and 'Selected Asymptotic Methods with Applications to Electromagnetics.' Education: BEng in Electrical Engineering, NTUA (1986) MS and PhD in Applied Sciences from Harvard University (1987, 1993) Research Interests: Electromagnetic theory and numerical methods Antenna design and analysis Asymptotic and spectral methods Superoscillations and wave phenomena Graphene-based shielding materials Publications trends reflect expertise in computational electromagnetics, antenna theory, and mathematical physics. He contributes to IEEE journals and collaborates internationally. A member of IEEE Antennas & Propagation Society and TEE (Technical Chamber of Greece). Labs/Teams: Active in computational electromagnetics research groups at NTUA, focusing on antenna modeling and numerical methods validation.

• Theoretical Computer Science
• Discrete Mathematics
• Reachability Problems
• +۳ مورد دیگر

Professor Igor Potapov serves as a Professor of Computer Science at the University of Liverpool, leading the Algorithms, Complexity Theory and Optimisation research group and acting as Council Member for Networks Sciences & Technologies. He holds key administrative roles including Director of MSc Studies in CS with Year in Industry and module coordination for Efficient Sequential Algorithms (COMP309), MSc Industrial Project (COMP599), and MSc Placement Experience (COMP598). His research centers on theoretical computer science with emphasis on reachability problems in infinite state systems , distributed computing and pattern formation , combinatorial optimisation , and decidability questions for mathematical structures. Current interdisciplinary work includes Algorithmic Crystal Structure Prediction for Material Design (Royal Society APEX Award 2024-2026) and foundational studies in automata-matrix theory connections. His methodological approach integrates abstract algebra, topology, and computation theory to analyze computational boundaries. Recent publications (2024-2025) demonstrate strong convergence between theoretical frameworks and practical applications, particularly in robotics scheduling (addressing collision avoidance and safety verification) and mathematical decidability (matrix semigroups, linear recurrence systems). These works bridge computational geometry with distributed algorithm design, revealing novel complexity boundaries in reachability analysis. His scientific recognition includes: Royal Society Apex Award (2024-2026) for Algorithmic Crystal Structure Prediction Royal Society Leverhulme Trust Senior Research Fellowship (2020-2021) for "Cornerstones of Reachability" As an active grant recipient, he manages multiple projects including Algorithmic Intelligence for Life, Society and Science (Royal Society 2024-2026) and UoL-SumDU Collaboration for Digitalisation of Ukraine (Research England 2023-2024). He supervises thesis work on crystal structure prediction and distributed shape formation while serving on examination committees for Oxford, Leicester, and Gran Sasso institutions. He co-leads the Science for Ukraine initiative's UK branch, developing academic mentoring programs and research twinning partnerships between UK and Ukrainian universities. His editorial work spans Fundamenta Informaticae (2020-present) and Lecture Notes in Computer Science (2009-2013), alongside conference organization for the Reachability Problems series.

Wim Ruitenburgمشاهده پروفایل

استاد

• Constructive Mathematics
• Symbolic Logic

Dr. Wim Ruitenburg is a Professor in the Department of Mathematical and Statistical Sciences at Marquette University. His research focuses on Constructive Mathematics and Symbolic Logic. He has contributed to notable publications in formal logic and algebra, including works on Visser algebras and intuitionistic theories. He teaches courses such as The Nature of Mathematics, Calculus, and oversees the Putnam Competition. His collaborative research includes projects with scholars like Mohammad Ardeshir and Fred Richman. Though no personal academic awards are listed, his team placed 19th nationally in the 1997 Putnam Competition. Dr. Ruitenburg maintains an active presence through his personal website and can be contacted at wim.ruitenburg@marquette.edu.

Alex Beltonمشاهده پروفایل

استاد

• Matrix Positivity
• Quantum Probability
• Open Quantum Systems
• +۳ مورد دیگر

Professor Alex Belton is Head of School and Professor of Mathematics at the University of Plymouth's School of Engineering, Computing and Mathematics. Previously at Lancaster University (15 years) where he served as Head of Mathematics and Statistics and co-founded the School of Mathematics. Research focuses on matrix positivity, quantum probability, open quantum systems, and operator semigroups. Developed theoretical frameworks for quantum stochastic flows and matrix analysis techniques with applications in mathematical physics. Recent work (2020-2024) advances matrix positivity preservers, kernel functions, and quantum stochastic processes. Supervised PhD completions include Michał Gnacik (2014) and Jason Hancox (2018). Current teaching includes MATH1705 Probability. Serves as external examiner for Manchester Metropolitan University, University College Cork, and other institutions. Professional experience includes postdoctoral positions at University College Cork, Université Claude Bernard Lyon 1, and Université Louis Pasteur Strasbourg 1. Trustee of Lancaster University School of Mathematics governing body.

Hema Srinivasanمشاهده پروفایل

استاد

• Commutative Algebra
• Algebraic Geometry
• Ring Theory
• +۲ مورد دیگر

Hema Srinivasan is a Professor of Mathematics at the University of Missouri, Columbia, where she holds a position in the Department of Mathematics. Her research focuses on Commutative Algebra, with a particular emphasis on numerical semigroups, semigroup rings, and homological algebra. She has organized the KUMUNU Conference in Commutative Algebra and contributed to significant studies on gluing semigroups, Betti numbers, and mixed multiplicities of filtrations. Education: She earned her Ph.D. in Mathematics from Brandeis University in 1986. Her academic work includes surveys and analyses of semigroup rings' structural properties and minimal free resolutions. Her recent publications explore advanced topics such as Kunz-Waldi semigroups, principal matrices of numerical semigroups, and the interplay between algebraic structures and geometric properties. She teaches advanced courses like Math 4140/7140 (Matrix Theory) and actively participates in academic conferences, promoting collaborative research in her field.

Alexandru Chirvasituمشاهده پروفایل

دانشیار

• Representation Theory
• Quantum Groups
• Non-Commutative Geometry
• +۳ مورد دیگر

Alexandru Chirvasitu is an Associate Professor in the Department of Mathematics at the University at Buffalo, part of the College of Arts and Sciences. He holds a PhD in Mathematics from the University of California at Berkeley (2014). His research focuses on representation theory with a quantum group flavor, non-commutative geometry, functional analysis, category theory, and foundational algebraic geometry, particularly scheme/stack reconstruction from categorical data. Education: PhD in Mathematics, University of California at Berkeley, 2014 Research Interests: Chirvasitu’s work bridges representation theory, quantum groups, and non-commutative geometry. He explores categorical structures in algebra, including Hopf algebras and monoidal categories, with applications to functional analysis and topological spaces. Recent trends in his publications emphasize quantum symmetries, spectral theory, and geometric quantization. Teaching & Grants: He has taught advanced courses such as Math 620 (Functional Analysis) and Math 819 (Advanced Topics in Algebra). While no explicit grant details are provided, his active publication record suggests sustained engagement with theoretical research programs. Labs/Teams: No specific labs or collaborative teams are mentioned, though his research likely intersects with algebraic geometry and quantum group theory communities.

• Commutative Algebra
• Representation Theory
• Finite Free Resolutions
• +۳ مورد دیگر

Ela Celikbas is an Assistant Professor of Mathematics at the School of Mathematical and Data Sciences, West Virginia University (WVU), part of the Eberly College of Arts and Sciences. Her research focuses on Commutative Algebra and Representation Theory, particularly the study of commutative rings, modules, and finite free resolutions. Celikbas is actively involved in academic service, co-organizing the WVU Algebra Seminar and Graduate Student Seminar, and serving as a WVU Faculty Senator. She also advises the Association for Women in Mathematics (AWM) WVU Student Chapter. Education: Ph.D. in Mathematics, University of Nebraska–Lincoln M.S. in Mathematics, University of Nebraska–Lincoln B.S. in Mathematics, Hacettepe University, Ankara, Turkey Her research explores advanced topics such as determinantal rings, Gorenstein ideals, and connected sums. Recent work includes studies on Arf rings, Betti numbers, and semi-invariants. Celikbas has contributed to journals like Communications in Algebra and the Journal of Commutative Algebra. She teaches graduate and undergraduate courses, including Modern Algebra, Advanced Linear Algebra, and Calculus. Publications highlight her expertise in algebraic structures and homological methods. She has no listed awards but is recognized for her academic leadership and contributions to algebraic research.

Leonel Robert Gonzálezمشاهده پروفایل

دانشیار

• Operator Algebras
• C*-algebras Classification
• K-Theory
• +۳ مورد دیگر

Leonel Robert is an Associate Professor in the Department of Mathematics at the University of Louisiana at Lafayette. His research focuses on operator algebras, particularly the classification of C*-algebras, K-theory, the Cuntz semigroup, and Hilbert C*-modules. He holds a Ph.D. from the University of Toronto (2006) and advanced degrees from the University of Havana (M.S. 2001, B.A. 1998). His academic contributions include significant work on C*-algebra structure and classification, trace theory, and noncommutative geometry. Recent research highlights include exploring unitary group properties, ultrapower traces, and algebraic models for C*-algebras. He has collaborated with leading mathematicians such as R. Archbold, F. Perera, and A. Tikuisis on topics ranging from Dixmier properties to nuclear dimension analysis. Robert's publications span prestigious journals like Duke Math. J., J. Reine Angew. Math., and Advances in Mathematics. His work demonstrates a focus on foundational problems in operator algebras with implications for functional analysis and mathematical physics.

Rachel Baileyمشاهده پروفایل

استادیار

• Orthogonal Polynomials
• Operator Theory
• Quantum Computing Applications
• +۱ مورد دیگر

Dr. Rachel Bailey is an Assistant Professor in the Department of Mathematical Sciences at Bentley University. She completed her Ph.D. in Mathematics at the University of Connecticut in 2024 under the supervision of Dr. Maxim Derevyagin and Dr. Masha Gordina. Her office is located in Morison Hall 327, and she can be contacted at 781.891.2725. Her primary research explores: Orthogonal polynomial perturbation theory Operator theoretic frameworks Quantum computing applications Semigroup connections with stochastic processes Current projects investigate orthogonal polynomials' role in quantum state transfer and semigroup theory. Publications demonstrate consistent focus on operator theory applications in quantum systems and advanced polynomial theory, with recent expansion into quantum computing interfaces. Research mentorship includes guiding undergraduate researcher Sun Ma on orthogonal polynomial applications in quantum computing. Significant honors include: MAA ProjectNExT Fellowship (2024-2025) FAC Teaching Grant (2024) Louis J. Deluca Memorial Teaching Award (2023) JMM Poster Award (2024) Summer Doctoral Dissertation Fellowship (2024)

Adam Humeniukمشاهده پروفایل

استادیار

• Operator Algebras
• Operator Theory
• Non-Selfadjoint Operator Algebras
• +۳ مورد دیگر

Adam Humeniuk is an Assistant Professor in the Department of Mathematics & Computing at Mount Royal University. He holds a PhD in Pure Mathematics from the University of Waterloo (2022), preceded by an MMath (2018) and a BSc in Physics (2015) and Pure Mathematics (2017) from the University of Calgary. His research focuses on operator algebras, noncommutative convexity theory, and C*-envelopes. He actively supervises undergraduate research projects and teaches courses in calculus, linear algebra, and data science. He previously held postdoctoral and teaching roles at MacEwan University, the University of Alberta, and the University of Waterloo. Research interests include non-selfadjoint operator algebras, matrix convex functions, and their applications to dynamics and convexity. He emphasizes undergraduate research mentorship, with current openings for Spring/Summer 2025 projects in matrix convex functions and operator algebras. Education: PhD – Pure Mathematics, University of Waterloo (2018–2022) MMath – Pure Mathematics, University of Waterloo (2017–2018) BSc Hons – Pure Mathematics (After Degree), University of Calgary (2015–2017) BSc Hons – Physics, University of Calgary (2011–2015) Adam is committed to fostering inclusive academic environments and supports student accommodations. Outside academia, he enjoys rock climbing, hiking, strength training, and music.

Jean-Philippe Lessardمشاهده پروفایل

دانشیار

• Applied Mathematics
• Partial Differential Equations
• Numerical Analysis
• +۴ مورد دیگر

Jean-Philippe Lessard is an Associate Professor in the Department of Mathematics and Statistics at McGill University. He holds a PhD from Georgia Tech (2007) and has held postdoctoral positions at the Institute for Advanced Study (IAS), Rutgers University, and VU University Amsterdam. His research focuses on rigorously verified computing, dynamical systems, and computer-assisted proofs in PDEs, ODEs, and delay equations. Education: PhD in Mathematics, Georgia Tech, 2007 MSc in Mathematics, Université de Montréal, 2002 Research Interests: Lessard's work emphasizes validated numerical methods, bifurcation theory, and topological techniques. Key areas include computer-assisted proofs for periodic orbits, invariant manifolds, and solutions of nonlinear PDEs like the Navier-Stokes and Swift-Hohenberg equations. He also studies delay differential equations and Morse-Conley-Floer homology. Articles Trends: His recent work explores rigorous integration of PDEs via spectral methods, bifurcation analysis in N-body problems, and validation of solutions in complex systems like Bose-Einstein condensates and suspension bridges. Awards: 2016 CAIMS/PIMS Early Career Award in Applied Mathematics Advising/Grants: He supervises PhD students and postdocs through programs like CRM-ISM, focusing on computational dynamics and rigorous numerics. His research has been supported by grants in applied mathematics and computational science. Labs/Teams: Past leadership includes the Computational Mathematics team at BCAM (2010-2011). Currently, he contributes to McGill's research groups in dynamical systems and PDEs.

Nathan Kaplanمشاهده پروفایل

استاد

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

Nathan Kaplan is a Professor of Mathematics at the University of California, Irvine (UCI). He specializes in Number Theory, Arithmetic Algebraic Geometry, Coding Theory, and Combinatorics. He holds a PhD from Harvard University (2013) and has held postdoctoral positions at Yale University and the NSA. His research focuses on rational points on varieties over finite fields, arithmetic statistics, and cokernels of random matrices. Kaplan has authored over 40 publications and has been recognized with awards such as the UCI Outstanding Contributions to Undergraduate Education Award (2022) and the AMS-MAA-SIAM Morgan Prize (2008). He has advised numerous PhD students and mentors postdoctoral researchers, including Harold Polo and Gilyoung Cheong. His editorial roles include serving on the Springer Undergraduate Texts in Mathematics Advisory Board and as a Communicating Editor for Semigroup Forum. Kaplan is actively involved in organizing conferences like the Southern California Number Theory Day and has secured grants from the NSF and Simons Foundation. Teaching includes undergraduate and graduate courses in Number Theory, Algebra, and Combinatorics. He emphasizes undergraduate research, mentoring programs like SUMRY and REU initiatives. His outreach spans talks at museums, math circles, and national competitions, reflecting his commitment to mathematical education and diversity in STEM.