Peter Michael Schuster

Foto,  February 28, 2018
Position
Associate Professor
Academic sector
MAT/01 - MATHEMATICAL LOGIC
Research sector (ERC)
PE1_2 - Algebra

PE1_1 - Logic and foundations

PE1_6 - Topology

Office
Ca' Vignal 2,  Floor 2,  Room 12
Telephone
+39 045 802 7029
Fax
+39 045 8027068
E-mail
peter|schuster*univr|it <== Replace | with . and * with @ to have the right email address.

Office Hours

Wednesday, Hours 4:00 PM - 6:00 PM,   Ca' Vignal 2, floor 2, room 12

Curriculum

La ricerca di Schuster riguarda la teoria della dimostrazione e la matematica costruttiva. Negli ultimi anni si è occupato principalmente della realizzazione parziale del programma di Hilbert nella matematica astratta, specie del contenuto computazionale delle dimostrazione classiche con il lemma di Zorn. Schuster ha pubblicato in riviste scientifiche di logica, algebra, matematica pura ed informatica teorica, fra cui Annals of Pure and Applied Logic, Journal of Symbolic Logic, Bulletin of Symbolic Logic, Journal of Pure and Applied Algebra, Mathematische Zeitschrift e Logic Journal of the IGPL. È uno degli organizzatori del 2018 Hausdorff Trimester Program “Types, Sets and Constructions”, Hausdorff Institute for Mathematics, Bonn. Ha partecipato anche come coordinatore in vari progetti di ricerca europei (FP7) ed internazionali.

Modules

Modules running in the period selected: 18.
Click on the module to see the timetable and course details.

Course Name Total credits Online Teacher credits Modules offered by this teacher
Master's degree in Mathematics Advanced course in foundations of mathematics (2018/2019)   6    (Teoria 1)
Bachelor's degree in Applied Mathematics Foundations of mathematics I (2018/2019)   6  eLearning
Master's degree in Mathematics Mathematical logic (2018/2019)   6  eLearning
Bachelor's degree in Applied Mathematics Foundations of mathematics I (2017/2018)   6  eLearning
Bachelor's degree in Applied Mathematics Mathematical analysis 3 (2017/2018)   6  eLearning
Master's degree in Mathematics Mathematical logic (2017/2018)   6  eLearning
Master's degree in Mathematics Advanced course in foundations of mathematics (2016/2017)   6  eLearning  
Master's degree in Mathematics Algebraic geometry (seminar course) (2016/2017)   6   
Bachelor's degree in Applied Mathematics Foundations of mathematics I (2016/2017)   6  eLearning
Bachelor's degree in Applied Mathematics Mathematical analysis 3 (2016/2017)   6  eLearning (Teoria 1)
Master's degree in Mathematics Mathematical logic (2016/2017)   6   
Master's degree in Mathematics Advanced course in foundations of mathematics (2015/2016)   6    (Teoria)
Master's degree in Mathematics Algebraic geometry (seminar course) (2015/2016)   6   
Bachelor's degree in Applied Mathematics Foundations of mathematics I (2015/2016)   6  eLearning
Master's degree in Mathematics Mathematical logic (2015/2016)   6   
Master's degree in Mathematics Advanced course in foundations of mathematics (2014/2015)   6   
Master's degree in Mathematics Algebraic geometry (seminar course) (2014/2015)   6   
Master's degree in Mathematics Mathematics teaching and workshop (2014/2015)   12    (Teoria 2)

 

Research groups

Logica
Logica in matematica ed informatica.
Skills
Topic Description Research area
Hilbert's Programme for Abstract Mathematics Extracting the computational content of classical proofs in conceptual mathematics. Particular attention is paid to invocations of logical completeness in mathematical form, typically as variants of Zorn's Lemma. Discrete and computational mathematics
Mathematical logic and foundations - -
Proof theory and constructive mathematics Proof theory at large studies mathematical proofs, which thus become themselves objects of mathematics. In a nutshell, the goal is to understand "what can be proved with what" and to gain computational information from proofs. Constructive mathematics aims at direct proofs from which one can read off algorithms; any such algorithm comes with a certificate of correctness for free, which just is the original proof. Discrete and computational mathematics
Mathematical logic and foundations - -
Projects
Title Starting date
A new dawn of Intuitionism: mathematical and philosophical advances 12/1/17
CATLOC - Categorical localisation: methods and foundations 3/1/17




Organization

Department facilities