Filippo Calderoni Department of Mathematics, Statistics, and Computer Science 851 S. Morgan Street Chicago, IL 60607–7045 [email protected]
EDUCATION
PhD. in Pure and applied Mathematics 2018 University of Turin – Advisor: Prof. Luca Motto Ros. – Thesis: A descriptive view of the bi-embeddability relation.
MSc. in Pure and Applied Logic 2014 University of Barcelona
First Cycle Degree in Mathematics 2012 University of Bologna
EMPLOYMENT
Research Assistant Professor Aug 2019 – now University of Illinois at Chicago
Postdoctoral fellow 2019 University of M¨unster (Germany)
RESEARCH INTERESTS
Mathematical logic, descriptive set theory, and infinite group theory.
AWARDS AND GRANTS
AMS–Simons Travel Grant 2020 Awarded by the AMS and the Simons Foundation. $5,000.
Franco Montagna prize by AILA and UMI 2019 Best Italian PhD dissertation in logic in 2017–2019. e2,000.
Quality Award 2017 by the Polytechnic of Turin 2018 Distinguished PhD fellow. e2,500.
Quality Award 2016 by the Polytechnic of Turin 2017 Distinguished PhD fellow. e7,000. Research grant by the INDAM 2017 Research grant to visit Rutgers University. e3,000.
Research grant: Erasmus+ traineeship 2015/2016 2016 Research grant to visit the University of Barcelona.
“Premio tesi 3 + 2” awarded by AILA 2015 Among the four best Italian master theses in logic in 2014–2015.
PhD scholarship by University of Turin 2014 Three years scholarship founded by the University of Turin.
“Premio tesi 3 + 2” awarded by AILA 2013 Among the three best Italian undergraduate theses in logic in 2012–2013.
PUBLICATIONS AND PREPRINTS
Rotation equivalence and cocycle superrigidity for compact actions. Preprint. Available at my webpage.
Anti-classification results for groups acting freely on the line, with D. Marker, L. Motto Ros, and A. Shani. Submitted. Preprint available at arXiv:2010.08049.
Borel structures on the space of left-orderings, with A. Clay. Bull. London Math. Soc., accepted for publication. Preprint available at arXiv:2002.02565.
Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures, with A. Kwiatkowska and K. Tent. J. Algebra, 580 (2021), pp. 43–62. DOI: 10.1016/j.jalgebra.2021.03.028.
Invariant universality for quandles and fields, with A. Brook-Taylor, and S. Miller. Fund. Math., 251 (2020), pp. 1 – 16. DOI: 10.4064/fm862-2-2020.
Uncountable structures are not classifiable up to bi-embeddability, with H. Milden- berger, and L. Motto Ros. J. Math. Log., 20 (2020), no. 01, 2050001, 49 pp. DOI: 10.1142/S0219061320500014.
The bi-embeddability relation for countable abelian groups, with S. Thomas. Trans. Amer. Math. Soc., 371 (2019), no. 3, pp. 2237 – 2254. DOI: 10.1090/tran/7513.
The complexity of the embeddability relation between torsion-free abelian groups of uncountable size. J. Symbolic Logic 83 (2018), no. 2, pp. 703 – 716. DOI: 10.1017/jsl.2018.9.
Universality of group embeddability, with L. Motto Ros. Proc. Amer. Math. Soc. 146 (2018), pp. 1765 – 1780. DOI: 10.1090/proc/13857.
INVITED TALKS AT CONFERENCES
5th Arctic Set Theory Workshop (upcoming), Feb 2022 University of Helsinki, Kilpisj¨arvi,Finland. Oberwolfach workshop “Set theory” (upcoming), Jan 2022 Mathematisches Forschungsinsitut Oberwolfach, Oberwolfach, Germany.
ASL North American Annual Meeting– Special session in Set Theory, Jun 2021 Notre Dame University, South Bend, IN. (online)
2021 Boise Extravaganza in Set Theory, Jun 2021 Boise State University, Boise, ID. (online)
2020 CMS Winter Meeting – Special session in Logic and its applications, Dec 2020 McGill University, Montreal, Canada. (online)
XXVII Logic Meeting (postponed), Sep 2020 University of Caserta, Italy.
XXI “Unione Matematica Italiana” Congress – Logic session, Sep 2019 University of Pavia, Pavia, Italy.
Advanced Class in Set Theory – 12th YSTW, Jun 2019 University of Vienna, Vienna, Austria.
Logic Fest in the Windy City, Jun 2019 University of Illinois at Chicago, Chicago, IL.
Arctic Set Theory Workshop, Jan 2019 University of Helsinki, Kilpisj¨arvi,Finland.
KNAW Academy Colloquium: Generalised Baire Spaces, Sep 2018 Royal Netherlands Academy of Arts and Sciences, Amsterdam, Netherlands.
Incontro Italiano Insiemi e Modelli, Feb 2018 University of Turin, Turin, Italy.
Descriptive Set Theory in Turin, Sep 2017 University of Turin, Turin, Italy.
INVITED TALKS AT SEMINARS
California Institute of Technology — Caltech, Mar 2021 Logic seminar, Pasadena, CA. (online)
University of Genoa, Jan 2021 Logic seminar, Genoa, Italy. (online)
University of Turin, Jan 2021 Logic seminar, Turin, Italy. (online)
University of Illinois at Urbana-Champaign, Mar 2020 UIUC Logic Seminar, Urbana-Champaign, IL. (online) Ohio State University, Mar 2020 Logic Seminar, Columbus, OH.
University of Wisconsin, Oct 2019 Logic Seminar, Madison, WI.
University of Illinois at Chicago, Feb 2019 UIC Logic Seminar, Chicago, IL.
Universit´ede Lausanne, Nov 2018 Logic Seminar, Lausanne, Switzerland.
Kurt G¨odelResearch Center, Apr 2018 Research Seminar, Vienna, Austria.
University of Maryland, Apr 2018 Logic Seminar, College Park, MD.
University of Illinois at Chicago, Mar 2018 UIC Logic Seminar, Chicago, IL.
University of Leeds, Dec 2017 Models & Sets Seminar, Leeds, UK.
University of Illinois at Urbana-Champaign, Aug 2017 UIUC Logic Seminar, Urbana-Champaign, IL.
City University of New York, Apr 2017 CUNY Set Theory Seminar, Manhattan, NY.
University of Illinois at Chicago, Mar 2017 UIC Logic Seminar, Chicago, IL.
University of Udine, Dec 2016 Logic Seminar, Udine, Italy.
University Pierre et Marie Curie, May 2016 Working group in Descriptive Set Theory, Paris, France.
University of Barcelona, Apr 2016 Barcelona Logic Seminar, Barcelona, Spain.
EXTENDED VISITS
Research visit (2 weeks) Spring 2019 University of Illinois at Chicago
Research visit (6 months) Spring 2017 Rutgers University
Research visit (3 months) Fall 2016 Centre de Recerca Matem`atica (CRM) Research visit and Erasmus+ traineeship (2 months) Spring 2016 University of Barcelona
Research visit (2 months) Summer 2015 University of Barcelona
TEACHING
MATH 430 – Formal Logic Spring 2021 University of Illinois at Chicago
MATH 215 – Introduction to Advanced Mathematics University of Illinois at Chicago
MATH 502 – Mathematical Logic Fall 2020 University of Illinois at Chicago
MATH 512 – Advanced Topics in Logic Spring 2020 University of Illinois at Chicago
MATH 215 – Introduction to Advanced Mathematics University of Illinois at Chicago
MATH 215 – Introduction to Advanced Mathematics Fall 2019 University of Illinois at Chicago
16ACFLX – Mathematical Analysis I Fall 2017 Polytechnic of Turin Teaching assistant
UNDERGRADUATE STUDENT MENTORING
Felicity Lovelace Fall 2021 Indipendent study at UIC
Zehra Amir 2020–2021 Capstone project at UIC (Honors College)
ORGANIZATION
Logic in the Loop Nov 2019 University of Illinois at Chicago
UIC Logic Seminar Fall 2019 – now University of Illinois at Chicago Descriptive Set Theory Day in Turin June 2018 University of Turin
OTHER PROFESSIONAL SERVICE
PhD student committee: Carl Dean (UIC, March 2021), Noah Schoem (UIC, April 2021), Alex Brenbeim (UIC, July 2021). Referee for scientific journals: Journal of Symbolic Logic, Fundamenta mathematicae, Archive for Mathematical Logic, Mathematical Logic Quarterly. Reviewer: Provost’s Graduate Research Award, UIC Graduate College. Reviewer: Mathematical Reviews/MathSciNet.
PROFESSIONAL MEMBERSHIPS
Americal Mathematical Society (AMS) Association for Symbolic Logic (ASL) Italian Association for Logic and its Application (AILA) Italian Mathematical Union (UMI)