جست‌وجوی استاد و پژوهشگر

Alexander Dieslمشاهده پروفایل

استاد

• Noncommutative Ring Theory
• Abstract Algebra
• Classification of Algebraic Structures
• +۳ مورد دیگر

Alexander Diesl is a Professor in the Department of Mathematics & Statistics at Wellesley College, where he integrates mathematics into a liberal arts framework. His research focuses on noncommutative ring theory, emphasizing classification and visualization of algebraic structures, and explores pedagogical approaches in mathematics education. Education: B.A., Johns Hopkins University M.A., Johns Hopkins University Ph.D., University of California-Berkeley Teaching and Research: Diesl teaches courses across all levels, including Abstract Algebra (MATH305) and Number Theory (MATH223) , which emphasizes proof-writing and applications in cryptography. His research investigates structural similarities in rings, generalizing number-theoretic concepts to abstract settings. Advising: In 2010, he mentored three Wellesley students in a summer research project on zero-divisor graphs of rings. He advocates for student engagement in mathematical exploration and its interdisciplinary connections.

Jake Levinsonمشاهده پروفایل

استادیار

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

Jake Levinson is an Assistant Professor in the Department of Mathematics and Statistics at Université de Montréal. His research focuses on algebraic geometry and algebraic combinatorics, with particular interests in moduli spaces, Schubert calculus, toric varieties, and equivariant free resolutions. He previously held positions at Simon Fraser University (2020–2023), the University of Washington (2017–2020), and completed a postdoctoral fellowship at LaCIM (UQAM). His Ph.D. from the University of Michigan (2017) was advised by David Speyer. Research Interests: - Algebraic Geometry: Moduli spaces, Schubert calculus, toric varieties, homological algebra. - Algebraic Combinatorics: Crystal graphs, Young tableaux, representation theory, combinatorial aspects of algebraic geometry. - Recent work includes studies on Schubert curves, Springer fibers, and applications of algebraic methods to problems in combinatorics and theoretical computer science. Teaching: - Taught MAT 6620 (Algebraic Geometry: Schemes) at Université de Montréal (Winter 2024). - Previously taught courses on intersection theory, representation theory, and Lean formal proof systems. Key Contributions: - Developed combinatorial models for Schubert curves using crystals and tableaux. - Contributed to Boij-Söderberg theory for Grassmannians and studies of class groups in algebraic geometry. - Collaborated on projects linking algebraic geometry to neural networks and random matrix theory.

• Geometric Group Theory
• Group Rings
• Algebra
• +۶ مورد دیگر

Dawid Kielak is a Professor of Pure Mathematics at the University of Oxford and a Tutorial Fellow at Hertford College, Oxford. He holds a DPhil from the University of Oxford and has held academic positions in Warsaw, Bonn, and Bielefeld before returning to Oxford. His research focuses on geometric group theory, particularly the interplay between group rings, algebraic structures, and topological spaces. He is a member of the Algebra and Topology research groups at Oxford. His research interests include geometric group theory, cohomology of arithmetic groups, ℓ²-invariants, and the study of automorphism groups of free groups. His work is funded by prestigious grants such as the ERC Starting Grant 'Fibring' (2019) and the ERC Consolidator Grant 'HigherHyper' (2024). He has also received awards like the Whitehead Prize (2022) and the Frontiers of Science Award (2023). Key research contributions include studies on Kazhdan constants for Chevalley groups, profinite rigidity of fibring, and coherence properties of groups. His work often bridges algebraic and topological methods, with applications to 3-manifold groups and random groups. He supervises multiple DPhil students and has mentored postdoctoral researchers in areas like ℓ²-Betti numbers and group rings. Teaching responsibilities include pure mathematics tutorials at Hertford College and advanced courses on geometric group theory, 3-manifolds, and ℓ²-invariants at the University of Oxford and Bielefeld University. His lab focuses on collaborative projects in algebraic topology and geometric group theory, with a particular emphasis on virtual fibring and higher Kazhdan properties.

Takumi Murayamaمشاهده پروفایل

استادیار

• Algebraic Geometry
• Commutative Algebra
• Algebra
• +۳ مورد دیگر

Takumi Murayama is an Assistant Professor of Mathematics at Purdue University, affiliated with the Department of Mathematics within the College of Science. His research focuses on Algebraic Geometry and Commutative Algebra, with particular emphasis on topics such as singularities, birational geometry, and positivity properties. He has contributed to foundational work on Fujita-type theorems, vanishing theorems, and the Minimal Model Program in various geometric contexts. His recent studies explore properties of rings and schemes in both characteristic zero and positive characteristic settings. His research interests span theoretical aspects of algebraic geometry, including moduli spaces, symbolic powers, and Seshadri constants. He has also investigated applications of tight closure theory and F-singularities in commutative algebra. Notable contributions include advancements in understanding the projectivity of moduli spaces and the behavior of nef classes on algebraic varieties. Recent publications highlight explorations into cubical descent for analytic spaces, uniform bounds on symbolic powers, and the interplay between algebraic and analytic methods in geometry. These works demonstrate a deep engagement with both classical and modern techniques in algebraic geometry and commutative algebra. While no specific grants or advising activities are listed, his academic profile reflects active participation in the mathematical research community through publications in top-tier journals and collaborations across international institutions. His personal website provides further details on his ongoing research and preprints.

Yiqiang Zhouمشاهده پروفایل

استاد

• Ring Theory
• Module Theory
• Abstract Algebra
• +۳ مورد دیگر

Yiqiang Zhou is a Professor of Mathematics at the Department of Mathematics and Statistics , Faculty of Science , Memorial University of Newfoundland. He holds a PhD from the University of British Columbia (2007), an M.Sc. from Beijing Normal University (200?), and a B.Sc. from Hunan Normal University (200?). His research focuses on ring theory and module theory , with notable contributions to the study of morphic rings, clean rings, and module properties. Recent work explores concepts like hypercyclic rings, nil-clean properties, and generalized fine rings. Teaching includes courses such as Math 2050 (Linear Algebra) and Math 4320 (Abstract Algebra) , with teaching materials available online. His extensive publication record spans over 60 articles in journals like Journal of Algebra and Journal of Pure and Applied Algebra , reflecting expertise in algebraic structures and their applications. Notable collaborations include work with Nicholson, Camillo, and others. His research also intersects with categorical module properties and Morita contexts. Research interests emphasize structural properties of rings and modules, including clean elements, ring cleanliness, and idempotent structures. His work often bridges theoretical algebra with practical module classifications, contributing foundational insights into noncommutative algebra.

Ong Kai Linمشاهده پروفایل

استادیار

• Algebra
• Coding Theory
• Quantum Computing
• +۴ مورد دیگر

Ong Kai Lin is an Assistant Professor at Heriot-Watt University's School of Mathematical & Computer Sciences. Her work focuses on algebraic structures and their applications in coding theory, quantum computing, and machine learning. She leads initiatives like the Maths Gym to enhance student learning and serves as First Year Coordinator of Studies for AMS programmes. Ribbons of her research include: Algebraic applications in quantum error-correction Idempotent-based code construction Zero-divisor code equivalence analysis Quantum stabilizer code design Statistical process control techniques She received the HWU Teaching Excellence Award (Global Teaching Team) in 2021 for her innovative student-staff collaboration practices. Ong actively engages in academic outreach through oral presentations on topics like Globally Connected Learning and Linear Algebra education .

• Commutative rings
• Multiplicative ideal theory
• Factorization theory
• +۳ مورد دیگر

Reinhart Andreas is a Senior Lecturer at the Institute for Mathematics and Scientific Computing, Karl-Franzens-Universität Graz. He obtained his Magister rerum naturalium (MSc) in 2008, PhD in 2010, and the Privatdozent title in 2020. His research focuses on commutative rings , multiplicative ideal theory , and factorization theory , with a strong emphasis on monoid structures and ideal decomposition. Education : Magister rerum naturalium (MSc) in Mathematics, University of Graz (2008). Doctor rerum naturalium (PhD) in Mathematics, University of Graz (2010). Privatdozent (Postdoctoral Habilitation), University of Graz (2020). His publications span commutative algebra , monoid theory , and algebraic number theory , with recent works addressing Pellian equations , zero-sum sequences , and non-unique factorization domains . He was awarded the prestigious FWF Erwin-Schrödinger fellowship J4023-N35 (2017-2020) and held visiting positions at New Mexico State University (2019) and Incheon National University (2019). His teaching portfolio includes courses in linear algebra , number theory , and algebraic structures , reflecting his expertise in foundational and advanced mathematical concepts.

Brian Johnsonمشاهده پروفایل

دانشیار

• Commutative Algebra
• Mathematics Education
• STEM Education
• +۳ مورد دیگر

Dr. Brian Johnson is an Associate Professor in the Department of Mathematics at Florida Gulf Coast University (FGCU). He has been actively involved with the U.A. Whitaker College of Engineering’s Whitaker Center for STEM Education since his arrival at FGCU, serving on its Leadership Team and later as Interim Director from Fall 2019 to Fall 2021. His academic background includes a Ph.D. in Mathematics from the University of Nebraska-Lincoln and a B.S. with honors in Mathematics from North Dakota State University. Dr. Johnson’s research focuses on Commutative Algebra , Scholarship of Teaching and Learning in Mathematics , and Faculty Professional Development . He has directed student research projects in areas such as zero-divisor graphs of graded rings, hyperbolic geometry, and jigsaw sudoku puzzles, some of which have led to publications in journals like Involve and MAA’s The College Mathematics Journal . His teaching emphasizes active learning pedagogies in Abstract Algebra (undergraduate and graduate levels) and mathematics for non-STEM majors. Grants: NSF Robert Noyce Teacher Scholarship Program: $945,015 (2015) NSF-WIDER SPARCT Grant: $249,240 (2013) His work bridges STEM education outreach and mathematical research, with a commitment to diversifying and enhancing STEM teaching through initiatives like the Noyce Program and faculty mentorship.

Kai Lin Ongمشاهده پروفایل

استادیار

• Algebra
• Coding Theory
• Quantum Error-Correction
• +۷ مورد دیگر

Kai Lin Ong is an Assistant Professor at the School of Mathematical & Computer Sciences, Heriot-Watt University, United Kingdom. He is actively engaged in teaching, research, and student development, with a focus on algebra and its applications in quantum computing and coding theory. He currently coordinates first-year programs and mentors students through various academic and personal development initiatives. First Year Coordinator of Studies (2021–present) Maths Gym Coordinator (2020–present) EmPOWER Champion and Impact Coach (2020–present) Student Societies Liaison (2020–2022) His research centers on algebraic structures such as idempotents, zero-divisors, and cyclotomic cosets, applied to quantum error-correcting codes and stabilizer code construction. He utilizes abstract algebra to develop robust coding mechanisms for quantum computing systems, with a strong emphasis on theoretical and practical applications in information processing. The recent publications reflect a consistent trend in quantum information science, particularly in algebraic coding theory. His work bridges pure mathematics with quantum computing, focusing on stabilizer codes, burst error correction, and structural analysis of ring-based codes. The integration of classical algebraic concepts into quantum frameworks highlights a deep interdisciplinary approach combining mathematics, computer science, and physics. Scientific Awards: HWU Teaching Excellence Award 2021 - Global Teaching Team Dr. Ong is actively involved in educational innovation, having led workshops and presentations on globally connected learning, student feedback systems like Gradescope, and sustainable communities in linear algebra education. He advises PhD students and contributes to curriculum development and academic governance through boards of studies and SSLC meetings. His educational philosophy emphasizes resilience, collaboration, and global engagement in learning. He is involved in multiple academic activities including oral presentations at workshops and seminars, promoting teaching excellence and student-centered learning. His initiatives like Maths Gym and EmPOWER support student success beyond the classroom, fostering holistic development.

William Youngمشاهده پروفایل

استاد

• Universal Algebra
• Algebraic Logic
• Residuated Lattices
• +۳ مورد دیگر

William Young is a Professor of Mathematics and Associate Dean for Curriculum and Academic Policy at Huntingdon College. He holds a Ph.D. in Mathematics from Vanderbilt University, along with an M.S. from Vanderbilt and a B.S. in Mathematics from Purdue University, with minors in Philosophy and Anthropology. Ph.D., Mathematics, Vanderbilt University M.S., Mathematics, Vanderbilt University B.S., Mathematics (minors: Philosophy & Anthropology), Purdue University His research focuses on Universal Algebra, Algebraic Logic, and Residuated Lattices. His work explores algebraic structures and their applications in logic, including studies on modular rings and zero-divisor graphs. These investigations bridge abstract algebra with foundational mathematical logic, contributing to the theoretical underpinnings of algebraic systems. His publications include studies on zero-divisor graphs in modular rings, with ongoing work on projective objects in algebraic categories. Conference presentations span topics like modal substructural logics and categorical equivalences in algebra and logic, reflecting his interdisciplinary approach.

• Geometric Group Theory
• Algebra
• Topology
• +۷ مورد دیگر

Dawid Kielak is a Professor of Pure Mathematics at the University of Oxford's Mathematical Institute and a Tutorial Fellow in Pure Mathematics at Hertford College, Oxford. His research bridges Geometric Group Theory and Algebra, with a focus on group rings, cohomology, and ℓ²-invariants. He is a member of the Algebra and Topology research groups and holds an ERC Starting Grant 'Fibring' (2019). His work explores properties like Kazhdan's T, BNSR invariants, and fibring in groups. Education: PhD in Mathematics from the University of Oxford (supervised by Martin Bridson), Habilitation thesis at Bielefeld University on 'Free groups, RAAGs, and their automorphisms'. Research interests include geometric and algebraic aspects of groups, with applications to 3-manifolds, hyperbolic geometry, and representation theory. His recent work addresses conjectures in group theory (e.g., Surface Group Conjectures), expands on ℓ²-Betti numbers, and investigates profinite rigidity. Publications span topics like coboundary expanders, quasi-BNS invariants, and algebraically hyperbolic groups, reflecting a focus on geometric and algebraic interplay. His articles often connect abstract group theory to topological and homological methods. Awards: Whitehead Prize (2022), ERC Consolidator Grant (2024), and multiple DFG/ERC grants. Advising: Supervises DPhil students in geometric group theory and algebra, including Gargi Biswas and Will Thomas. Labs/Teams: Coordinates a research group focusing on group theory and topology, with collaborations on projects involving random groups, RAAGs, and automorphisms.

Jesse Smithمشاهده پروفایل

استادیار

• Commutative Algebra
• Graph Theory
• Ring Theory
• +۳ مورد دیگر

Dr. Jesse Smith is an Assistant Professor of Mathematics at Maryville College, affiliated with the Division of Math & Computer Science. He earned a B.A. in Mathematics and Computer Science from Maryville College and a Ph.D. in Abstract Algebra from the University of Tennessee, Knoxville. Education: B.A., Maryville College; Ph.D., University of Tennessee, Knoxville His research focuses on the interplay between graph theory and ring theory, particularly zero-divisor graphs and their generalizations to ideal-based zero-divisor graphs. He has classified finite commutative rings with planar ideal-based zero-divisor graphs. Additional interests include zero-dimensional rings, von Neumann regular rings, and the application of 3D printing in mathematical education. He explores interdisciplinary connections, such as statistical analysis of the Golden Ratio’s aesthetic appeal in art. Recent publications examine structural properties of zero-divisor graphs and ideal-based generalizations. Dr. Smith co-advises the Maryville College 3D Printing Club (MC3D) and mentors undergraduate research projects in mathematics and computer science, including topics like Hartree-Fock equations optimization with student Jenna Delozier.

Vaidehi Ramanathanمشاهده پروفایل

استاد

• Language Policies
• Sociolinguistics
• Health Communication
• +۲ مورد دیگر

Vaidehi Ramanathan is a Professor in the Department of Linguistics at the University of California, Davis. Her research spans language policies, sociolinguistics, health communication (particularly Alzheimer's discourse and medical consultations), refugee resettlement, and citizenship studies. She holds a Ph.D. in Linguistics from the University of Southern California (1994), an M.A. in Linguistics from California State University, Northridge (1989), an M.A. in English Literature from the University of Baroda, India (1987), and a B.A. from St. Xavier’s College, Ahmedabad (1985). Her research integrates qualitative sociolinguistics with critical analysis of language in policy, health, and migration contexts. Key interests include: How language policies regulate minority languages and impact behavior. Sociopolitical dimensions of second language acquisition. Discourses of health institutions and caregiver narratives. Linguistic barriers in refugee resettlement and citizenship processes. Her publications reflect interdisciplinary engagement, merging linguistic analysis with mathematics (graph theory, ring theory) and health sciences (neuropharmacology, pain communication). Recent articles explore medical consultations on opioids, Alzheimer's narratives, and combinatorial algebra, indicating collaborations across STEM fields. She teaches courses such as LIN 280 (Theories of Second Language Development), LIN 263 (Discourse Analysis), and LIN 3 (Language and the Body), emphasizing applied linguistics and critical discourse studies.

Igor Mineyevمشاهده پروفایل

استاد

• Geometric Group Theory
• Hyperbolic Groups
• Metric Geometry
• +۸ مورد دیگر

Igor Mineyev is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), part of the College of Liberal Arts & Sciences. His research focuses on geometric group theory, hyperbolic groups, metric geometry, homology/cohomology, and intersections with machine learning. He leads the Illinois Mathematics Lab (IML) projects ColorTaiko! and PathForms, which explore geometric group theory concepts through interactive games. His work includes contributions to the Hanna Neumann conjecture, Kaplansky conjectures, and applications of group theory to computational abstraction. Mineyev has collaborated extensively, involving students and postdocs in research projects and teaching courses like Math 501 (Algebra II) and IML project-based classes. Notable research trends in his articles include algebraic topology, geometric analysis, and interdisciplinary applications of group theory. His grants include NSF applications and UIUC funding. Mineyev advises numerous students and mentors graduate researchers through structured IML projects and informal study groups.

Yuanlin Liمشاهده پروفایل

استاد

• Algebra
• Number Theory
• Combinatorics
• +۳ مورد دیگر

Yuanlin Li is a Professor of Mathematics at Brock University. He holds a PhD from Memorial University, an MSc from Nanjing University, and a BSc from Jiangsu University. His research focuses on group rings, combinatorial number theory, and algebraic structures, with applications in coding theory. Key interests include Zassenhaus conjectures, zero-sum problems, and homological properties of modules. Research Projects: Includes studies on unit groups of group rings, normalizer problems, and additive number theory. Interdisciplinary Work: Explores connections between rings and graphs (e.g., zero-divisor graphs) and combinatorial problems in group theory. He is affiliated with the Department of Mathematics and Statistics and maintains an active research program, though no specific grants or awards are listed in the provided text.