Thanks to my Mathematical Analysis 1 students for the photorealistic sketch.

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

    Most of the results in my thesis have been collected in the papers 1 to 5, so please refer to the papers instead.

    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