Luis Scoccola

Luis Scoccola I am a postdoc at the Math department at Michigan State University, working with Jose Perea.

I studied Math and Computer Science at the University of Buenos Aires, and got my PhD from the University of Western Ontario, under the supervision of Dan Christensen.

I am interested in applications of topology, homotopy theory, and category theory.

Publications and preprints [Google scholar]

Applied topology and persistence

⟼ Rectification of interleavings and a persistent Whitehead theorem.
With E. Lanari. [arXiv]

⟼ Stable and consistent density-based clustering.
With A. Rolle. [arXiv]

⟼ Locally persistent categories and metric properties of interleaving distances.
My PhD dissertation. [thesis]

Homotopy type theory

⟼ The Hurewicz Theorem in Homotopy Type Theory.
With D. Christensen. [arXiv]

⟼ Nilpotent Types and Fracture Squares in Homotopy Type Theory.
Mathematical Structures in Computer Science, 30(5):511–544, 2020. [MSCS]

⟼ Localization in Homotopy Type Theory.
With D. Christensen, M. Opie, and E. Rijke.
Higher Structures, 4(1):1–32, 2020. [HS]

⟼ The Integers as a Higher Inductive Type.
With T. Altenkirch.
Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 67–73), 2020. [LICS]

Select talks

January 16th, 2021 Locally persistent categories and metric properties of interleaving distances (contributed talk) [slides] [recording], ATMCS hosted by AATRN.
December 5th, 2020 Homotopy coherence in applied topology (invited talk) [slides] [recording], Canadian Mathematical Society Winter Meeting.
November 4th, 2020 Locally persistent categories and approximate homotopy theory (invited talk) [slides] [recording], New York City Category Theory Seminar.
June 18th, 2020 Universality of the Gromov–Hausdorff distance (invited talk) [slides][recording], Workshop on Topological Data Analysis, The Fields Institute.
January 31st, 2020 Quotient interleaving distances (invited talk) [slides], University of Florida Topological Data Analysis conference.
June 11th, 2019 Congruence in Univalent Type Theory (contributed talk) [extended abstract][slides], TYPES, Oslo.
January 11th, 2018 Localization in Homotopy Type Theory (invited talk) [slides], AMS Special Session on Homotopy Type Theory, Joint Mathematics Meetings, San Diego.

Code

⟼ The Integers as a Higher Inductive Type.
Formalization of the homonymous article, above. [Git]
⟼ A visualization tool for parameter selection in cluster analysis.
With A. Rolle. [Git]

Recent teaching

Spring 2021 Instructor for Calculus II, MTH 133 at MSU. If you are a student for this course, please go to the course website.
Fall 2019 Instructor for Calculus I, Math 1000 at UWO.

Other

Summer 2020 I was awarded the Robert and Ruth Lumsden Scholarship In Science at UWO.
Spring 2020 I mentored a Directed Reading Project for an undergraduate student at UWO, on Deep Learning.
Fall 2019 I mentored a Directed Reading Project for an undergraduate student at UWO, on Category Theory.
Summer 2019MITACS grant to visit the University of Nottingham and collaborate with Thorsten Altenkirch.
May 7-11, 2018 Mathematics Research Communities collaboration grant to visit Carnegie Mellon University and collaborate with Egbert Rijke.
December 11-15, 2017 I contributed to the development of coinductive types in UniMath library, during the UniMath School, 2017.
Fall 2017 to Spring 2019 I co-organized the math graduate seminar at UWO.
March to October 2014I co-organized the seminar on functional programming at the Universidad de Buenos Aires.

Contact information

x@msu.edu, for x = scoccola

Pronoun: he