Amos Turchet
Dipartimento di Matematica e Fisica
Università degli Studi Roma 3
L.go S. L. Murialdo 100146, Romaamos.turchet@uniroma3.it
amosturchet.github.io
Office 201 - tel: (+39 06 5733) 8244
Last Updated: January 2023

Employment
2020 –2019 – 20202016 – 20192014 – 2016

Ricercatore a tempo determinato tipo B (tenure track), Università di Roma Tre
Junior Visitor, Scuola Normale Superiore di Pisa
Acting Assistant Professor, University of Washington (USA)
Postdoctoral Researcher, Chalmers University of Technology (Sweden)

Visiting Appointments
2013 Academic guest, Rational Points, Rational Curves and Entire Holomorphic Curves onAlgebraic Varieties, Centre de recherches mathématiques, Montréal
2012 – 2013 Visiting Researcher, Brown University,Advisors: Prof.s Dan Abramovich and Joseph Silverman

Education
2014
2010
2007
2007

Ph.D. Mathematics, Università degli studi di Udine (advisor: Pietro Corvaja)
M.S. Mathematics, Università degli studi di Udine, cum laude
B.S. Mathematics, Università degli studi di Udine, cum laude
Classical Guitar Diploma, Conservatorio A. Boito di Parma, 10/10

Research Interests
Arithmetic and Algebraic Geometry, Number Theory

Awards and grants
2023
2019201820172016
2015
2014
2011 – 2014

Habilitation for Associate Professor in Algebra and Geometry (01/A2)
Qualification for Maître de conférences
Nominee, University of Washington Postdoc Mentoring Award
Grant for “Where Geometry meets Number Theory, a conference for 60th birthday of P.
Salberger” : 110.000 SEK (GoCAS) and 93.000 SEK (Swedish Research Council)
Grant for “Number Theory Days 5” : 25.000 SEK (GoCAS)
Grant for “Number Theory Days 3” : 35.000 SEK (GoCAS)
Knut and Alice Wallenberg Foundation Travel grant
MIUR Ph.D. Scholarship

Amos TurchetPublications
In Journals and Volumes

1. Divisibility of polynomials and degeneracy of integral points.
(with E. Rousseau and J.T.-Y. Wang). – Mathematische Annalen (2023).
doi: /10.1007/s00208-023-02564-3
2. Around the Chevalley-Weil theorem. (with P. Corvaja and U. Zannier) –L’Enseignement Mathématique 68 (2022), no. 1-2, 217–235.
doi: 10.4171/lem/1027
3. Lang-Vojta Conjecture over function fields for surfaces dominating G2m .
(with L. Capuano.) – European Journal of Mathematics 8 (2022) no. 2, 573–610.
doi: 10.1007/s40879-021-00502-8
4. Nonspecial varieties and Generalized Lang-Vojta conjectures. (with E. Rousseauand J.T.-Y. Wang) – Forum Math. Sigma 9 (2021), Paper No. e11, 29 pp.
doi: 10.1017/fms.2021.8
5. Hyperbolicity And Uniformity Of Varieties Of Log General Type. (with K. Ascherand K. DeVleming.) – International Mathematics Research Notices 2022, Issue 4,February 2022, 2532–2581.
doi: 10.1093/imrn/rnaa186
6. The Erdős–Ulam problem, Lang’s Conjecture, and uniformity. (with K. Ascherand L. Braune) – Bulletin of the London Mathematical Society 52 (2020), no. 6,1053–1063. doi: 10.1112/blms.12381
7. Fibered Threefolds and Lang-Vojta’s Conjecture over Function Fields.
Transactions of the American Mathematical Society 369 (2017), no.12, 8537-8558
doi: 10.1090/tran/6968
8. A fibered power theorem for pairs of log general type. (with K. Ascher.) Algebraand Number Theory 10 (2016), no. 7, 1581–1600. doi: 10.2140/ant.2016.10.1581
9. Invitation to Integral and Rational points on curves and surfaces. (with P. Das.)
Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective
Varieties, Contemporary Mathematics, vol. 654, Amer. Math. Soc., Providence,RI, 2015, pp. 53-73. doi: 10.1090/conm/654/13215
Submitted for Publication

10. Some examples of exceptional loci in Vojta Conjecture.
11. Greatest Common Divisor Results On Semiabelian Varieties And A Conjecture Of
Silverman. (with F. Barroero and L. Capuano)2

Amos Turchet
Other Publications

12. Hyperbolicity of varieties of log general type.
chapter in Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli
Spaces, Nicole, Marc-Hubert (Ed.), CRM Short Courses - Springer International
Publishing. doi: 10.1007/978-3-030-49864-1.
13. Geometric Lang-Vojta Conjecture in the projective plane. Ph.D. Thesis, 2014.

Lecture Series
2021 10th swiss-french workshop in Algebraic Geometry, Charmey, September 2021
Title: Diophantine geometry and hyperbolicity properties of algebraic varieties
2019 School (and Workshop) on Diophantine geometry and special varieties
Trento, September 2019, Supporting lecturer
2018 Geometry and arithmetic of orbifolds, Montréal December 2018
Title: Arithmetic and Geometry of log pairs (w. Kenny Ascher)

Seminars and Conferences as Speaker
2022 Université de Bretagne Occidentale, Seminaire Géométrie et Topologie, Brest, FranceGeometry and Arithmetic of Moduli Spaces, Pisa, Italy
Geometric and Arithmetic Frontiers of Orbifolds, Montreal, Canada
Foliations and Algebraic Geometry, Quimper, France2021 Università di Bologna, Seminario di Algebra e Geometria
Università La Sapienza, Seminario di Algebra e Geometria
Università Tor Vergata, Geometry Seminar Tor Vergata
Minisymposium "Number Theory" within the 8ECM (Online)
Number Theory Online 2021 (Online)
2020 Universitá di Roma Tre, Geometry Seminar2019 University of Freiburg, Seminar: Algebra, Zahlentheorie und algebraische GeometrieTopics On Nevanlinna Theory And Complex Hyperbolicities, Shanghai Center for
Mathematical Sciences
Université Paris-Sud, Audition pour MDC
Diophantine Approximation and Value Distribution Theory at the interface of Arithmetic and Complex Hyperbolic Geometry. UQAM, Montréal
Hawaii Number Theory 2019 conference (HINT 2019)
Arithmetic Geometry Session
Greater Vancouver Number Theory Day, UBC, Vancouver2018 Canadian Math Society Winter Meeting, Vancouver
Recent Advances in Arithmetic and Hyperbolic Geometry
University of Oxford, Arithmetic Geometry Seminar3Amos Turchet
Spring Eastern Sectional AMS Meeting, Portland University
Special Session on Algebraic Geometry and its Connections
University of Oxford, Algebraic Geometry Seminar2017 Banff International Research Station, Diophantine Approximation and Algebraic Curves
UBC, Algebraic Geometry Seminar2016 University of Oregon, Number Theory Seminar
University of Washington, Number Theory Seminar
University of Washington, Algebra and Algebraic Geometry Seminar
KTH, Seminar Algebra and Geometry
Aix Marseille Université, Séminaire Géométrie, Dynamique et Topologie
Universität Bayreuth, Algebraic Geometry Seminar
Johannes Gutenberg University Mainz, SFB-Kolloquium2015 Terzo Incontro Italiano di Teoria dei Numeri, Centro de Giorgi Pisa
Quantitative arithmetic geometry, Mittag-Leffler InstituteN3 -days 2, University of Copenhagen
Chalmers University of Technology, Algebraic Geometry Seminar2014 Universität Basel, Seminar Algebra and Geometry
Banff International Research Station, Vojta’s Conjectures
Chalmers University of Technology, Number Theory Seminar
Intercity workshop in Arakelov Theory, “Sapienza” Università di RomaOn Lang and Vojta’s conjectures, CIRM Marseille2013 TULSF VIII (A meeting in Algebraic Geometry), Ljubljana University
Brown University, Junior Arithmetic and Algebraic Geometry Seminars
2012 Moduli of Curves and Gromov-Witten Theory, Institut Fourier

Selected Conferences as a Participant
2022 Foliations in Algebraic and Birational Geometry, EPFL LausanneBanff International Research Station, Specialisation and Effectiveness in Number Th.
2021 Banff International Research Station, Geometry via Arithmetic
2019 Topics in Rational and Integral Points, Universität Basel
Birational Geometry and Hodge Theory – Entire Curves, Rational Curves and Foliation,
CIRM Marseille2018 International summer school on Arithmetic geometry, Università degli Studi di Salerno
Workshop on effectivity and ineffectivity for unlikely intersections, University of Manchester2017 Western Algebraic Geometry Symposium, Fall 2017, UCLA
Specialization problems in Diophantine Geometry, Cetraro
Western Algebraic Geometry Symposium, Spring 2017, UBC

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Amos Turchet2016
2015

2014

2011

Banff International Research Station, Newton-Okunkov Bodies, Test Configurations,and Diophantine Geometry
3N -days 4, University of Copenhagen
Banff International Research Station, Distribution of Rational and Holomorphic Curves
in Algebraic Varieties
2015 Summer Research Institute on Algebraic Geometry, University of Utah
Final ERC meeting in Diophantine Geometry, Accademia dei Lincei
N3 -days 1, University of Copenhagen
Second ERC Research Period on Diophantine Geometry, CetraroGéometrié Algébrique en Liberté, SISSA
School and Conference on Modular Forms and Mock Modular Forms and their applications in Arithmetic, Geometry and Physics, ICTP

Teaching
University Roma Tre, Professor
2021 Fall CR510: Elliptic Cryptography
2021 Spring GE220: Topology
2020 Spring GE450: Algebraic Topology
University of Washington, Professor
2019 Spring Math 308 H: Matrix Algebra (Linear Algebra)
Winter Math 340 G: Abstract Linear Algebra
2018 Fall Math 308 C: Matrix Algebra (Linear Algebra)
Math 308 D: Matrix Algebra (Linear Algebra)
Spring Math 308 B: Matrix Algebra (Linear Algebra)
Winter Math 582 G: Diophantine Geometry of Curves (Graduate Course)
Math 308 D: Matrix Algebra (Linear Algebra)
2017 Fall Math 402: Introduction to Modern Algebra I (Group Theory)
Spring Math 308 G: Matrix Algebra (Linear Algebra)
Winter Math 308 A: Matrix Algebra (Linear Algebra)
Math 308 D: Matrix Algebra (Linear Algebra)
2016 Fall Math 308 G: Matrix Algebra (Linear Algebra)
University of Washington, Reading courses
2018 Arithmetic of Elliptic Curves (1 graduate student)
Uniformity of Rational points (4 undergraduate students)
2017 Diophantine Equations (4 undergraduate students)
Primality Tests and Elliptic Curves (4 undergraduate students)
Primality Tests and the AKS Theorem (4 undergraduate students)

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Amos Turchet
Chalmers University of Technology, Professor
2015 Scheme Theory (Graduate Course)
Chalmers University of Technology, Teaching assistant2015 MVE085: Multivariable Calculus
MVE016: Calculus II2014 MVE085: Multivariable Calculus
2013 – 20142012 – 20132011 – 20122010 – 2011

Università degli studi di Udine, Teaching assistant
Matematica Discreta per Informatica (Combinatorics, arithmetic and linear algebra)
Matematica Discreta per Informatica
Matematica Discreta per Informatica
Matematica per Architettura (Multivariable calculus and linear algebra)
Matematica per Architettura

Conference Organization
20222021
2019

2017
2016
2015
2011

Organizer
Winter Meeting in Algebra and Geometry
Co-organizers: B. Bolognese, D. Fiorenza, M. Lanini
Leuca2022, Celebrating Claude Levesque’s, Damien Roy’s and Michel Waldschmidt’s
birthdays
Co-organizers: F. Barroero, D. Cafiero, L. Capuano, A. Mori, F. Pappalardi, V.
Talamanca
Algebraic Geometry in Roma Tre, On the occasion of Sandro Verra’s 70th birthday
Co-organizers: A. Bruno, L. Caporaso, M Lelli-Chiesa, A. F. Lopez, M. Melo, F.
Merola, M. Pontecorvo, E. Sernesi, P. Supino, V. Talamanca, F. Viviani.
Algebraic geometry conference - Christmas in Rome 2021
Co-organizers: B. Bolognese, E. Fatighenti, R. Fringuelli
AMS Joint Central and Western Sectional Meeting:Special session on “Arithmetic Geometry and its connections”
Co-organizer: L. Capuano
Where Geometry meets Number Theory, a conference for 60th birthday of P. Salberger
Co-organizer: J. Brandes, T. Browning, O. Marmon
3N -days 5 at Chalmers University
Co-organizers: J. Brandes, D. Eriksson, P. Salberger, M. Westerholt-Raum3
N -days 3 at Chalmers University
Co-organizer: D. Eriksson, P. Salberger, M. Westerholt-Raum
9th Metaheuristics International Conference (Local Organizer)

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Amos Turchet
Advising
Thesis supervised
2016 Stepan Maximov, Trang Nguyen, Robin Sorsa Sigurdson, Olivia Stalin
Chalmers University of Technology - Undergraduate thesis:“Primality Tests and the AKS primality test”
Research Projects for undergraduates
2018 Washington Experimental Mathematical Lab: Uniformity of Diophantine Equations
2017 Washington Experimental Mathematical Lab: Elliptic Curves and Primality Tests
Washington Experimental Mathematical Lab: The AKS Primality Test

Outreach
2022 Lecturer, Professione ricercatore - Roma Tre University
2018 Lecturer, Math Day - University of Washington
2017 Lecturer, Math Day - University of Washington

ServiceDepartmental Service
2021 – pres. Roma Tre University: Organizer of the Geometry Seminar
Roma Tre University: Library representative for the Mathematics Section2018 Leading Acting Assistant Professor (guidance for new postdocs)
2014 – 2016 Chalmers University of Technology: Organizer of the Algebraic Geometry and Number
Theory SeminarCommunity Service
Referee for Annales Scientifiques de l’ENS, Annali SNS, Compositio, Forum of Mathematics Sigma, IMRN, International Journal of Number Theory, Journal de Théorie
des Nombres de Bordeaux, Journal of Pure and Applied Algebra, Mathematica
Scandinava, Periodica Mathematica Hungarica, Transactions of the AMS
Reviewer for MathSciNet, Zentralblatt MATH
Member of the Unione Matematica Italiana

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