معرفی
Felix Gotti is an NSF Postdoctoral Fellow and Instructor in Applied Mathematics at the Massachusetts Institute of Technology (MIT), Department of Mathematics within the School of Science. He earned his PhD in Mathematics from UC Berkeley in 2019 under the supervision of Prof. Lauren Williams. Prior to his position at MIT, he was an Exchange Graduate Scholar at Harvard University and a Postdoctoral Researcher at the University of Graz (Austria) and the University of Florida.
His educational background includes:
- PhD in Mathematics, UC Berkeley (2019)
Gotti's research centers on Algebra and Combinatorics, with a primary focus on the phenomenon of non-uniqueness of factorizations into irreducibles in integral domains and atomic monoids. He employs techniques from combinatorics, linear algebra, and number theory to investigate these structures. His combinatorial research focuses on posets and matroids, while he also maintains interests in polyhedral geometry and cluster algebras. His work bridges abstract algebraic theory with concrete combinatorial applications, creating connections between seemingly disparate mathematical domains.
Analysis of Gotti's publication record reveals a consistent focus on factorization theory across algebraic structures. His research spans semigroup rings, Puiseux monoids, semirings, and polynomial rings, examining properties like atomicity, elasticity, and length-factoriality. The interdisciplinary nature of his work connects commutative algebra, combinatorics, and geometry, with applications in understanding the structural properties of various algebraic objects.
His scientific recognition includes the prestigious NSF Postdoctoral Fellowship, which supports his research at MIT.
- NSF Postdoctoral Fellow
Gotti is deeply committed to mentoring and advising students. He serves as the Group Research Coordinator of MIT PRIMES, a program introducing high school students to research in mathematics, computer science, and computational biology. He has supervised numerous students including Cecilia Aguilera, Khalid Ajran, Sofia Albizu-Campos, and others who have produced significant research papers. His mentees have received notable awards including the Spirit of Ramanujan Fellowship, Regeneron Science Talent Search recognition, and awards from the American Mathematical Society. Gotti also serves as the Lead Mentor of CrowdMath, a free year-long online research program open to high-schoolers and undergraduates worldwide. He has taught multiple courses at MIT including Combinatorial Analysis (18.211), Multivariable Calculus (18.02), and specialized topics like Ideal Theory and Prüfer Domains.
As a member of the editorial board of Communications in Algebra, Gotti contributes to the scholarly community by reviewing mathematical research. His leadership in educational programs demonstrates his commitment to nurturing the next generation of mathematicians through structured research opportunities and mentorship.
