Manlio Valenti

Visiting Assistant Professor

Department of Mathematics

University of Wisconsin - Madison

Email:

Research interests

My research is focused on computable analysis, Weihrauch reducibility, and (effective) descriptive set theory.

Papers

**Ph.D. Thesis: ** A journey through computability, topology and analysis, 2021.

An abstract of the thesis has been published in

Selected talks

- 11.2022
- The first-order part of computational problems, Midwest Computability Seminar, invited talk
- 05.2022
- New operators on Weihrauch degrees and their applications to separation results, Leeds Computability Days, invited talk
- 03.2022
- The first-order part of Weihrauch degrees, Online Logic Seminar, invited talk
- 07.2021
- Algebraic properties of the first-order part of a problem, LC 2021
- 07.2021
- The Cantor-Bendixon theorem in the Weihrauch lattice, CiE 2021
- 06.2021
- The uniform strength of descending sequences, ASL North American Annual Meeting 2021, special session in Computability Theory, invited talk.
- 04.2021
- Ill-founded orders and Weihrauch degrees, Oberwolfach Workshop 2117 "Computability theory"
- 11.2020
- On the descriptive complexity of Fourier dimension and Salem sets, CTA computability seminar, invited talk.
- 10.2020
- Fractal dimensions and descriptive set theory, PennState Logic Seminar, invited talk.
- 09.2020
- Computing the Fourier dimension, CCC 2020
- 07.2020
- Finding descending sequences in ill-founded linear orders, CiE 2020
- 10.2019
- The open and clopen Ramsey theorems in the Weihrauch lattice, UW-Madison Logic Seminar, invited talk
- 07.2019
- The open and clopen Ramsey theorems in the Weihrauch lattice, CiE 2019

Teaching

Math/CompSci/Stat 475 Introduction to Combinatorics - UW-Madison 2022/2023

Math 570 Fundamentals of Set Theory - UW-Madison 2022/2023

Math 990 Reading and Research - UW-Madison 2022/2023

Teaching Assistant - Mathematical analysis 2 - B.Sc. Civil Engineering (Udine) 2021/2022

Mathematical Analysis - B.Sc. Imaging and radiotherapy techniques (Udine) 2021/2022

Teaching Assistant - Mathematical analysis 1 - B.Sc. Industrial Engineering (Udine) 2021/2022

Teaching Assistant - Mathematical analysis 1 - B.Sc. Mathematics (Udine) 2018/2019

Teaching Assistant - Mathematical analysis 1 - B.Sc. Mathematics (Udine) 2019/2020