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Dr. Marcel Schmidt


Büro:

Zimmer 3536
Ernst-Abbe-Platz 2
Telefon:
(+49) 3641 9 46 113
Fax: (+49) 3641 9 46 102
E-Mail:
schmidt.marcel (at) uni-jena.de
Postanschrift:
 

Friedrich-Schiller-Universität Jena
Fakultät für Mathematik und Informatik
Mathematisches Institut
Lehrstuhl Analysis

Ernst-Abbe-Platz 2
D-07743 Jena
Germany

Preprints

Uniqueness of form extensions and domination of semigroups

(with Daniel Lenz, Melchior Wirth), submitted.

The Ihara Zeta function for infinite graphs

(with Daniel Lenz, Felix Pogorzelski), submitted.


Publications

Global properties of Dirichlet forms in terms of Green's formula

(with Sebastian Haeseler, Matthias Keller, Daniel Lenz, Jun Masamune), to appear in Calc. Var. Partial Differential Equations.

Global properties of Dirichlet forms on discrete spaces

Dissertationes Math. (Rozprawy Mat.) 522 (2017), 1-43.

Note on short time behavior of semigroups associated to selfadjoint operators

(with Matthias Keller, Daniel Lenz, Florentin Münch, Andras Telcs), Bull London Math Soc (2016) 48 (6): 935-944.

Note on uniformly transient graphs

(with Matthias Keller, Daniel Lenz, Radoslaw Wojciechowski), to appear in Revista Matemática Iberoamericana. 

A Feynman-Kac-Ito Formula for magnetic Schrödinger operators on graphs

(with Batu Güneysu, Matthias Keller),  Probability Theory and Related Fields, 165 (2016), no. 1-2, 365-399.

Diffussion determines the recurrent graph

(with Matthias Keller, Daniel Lenz, Melchior Wirth), Advances in Mathematics, Volume 269 (2015), 364-398.



PhD thesis

Energy forms


Diploma thesis

Global properties of Dirichlet forms on discrete spaces


CV

since 2011 PhD student in mathematics, Friedrich-Schiller-Universität Jena

2007-2011 Diploma studies in mathematics, Friedrich-Schiller-Universität Jena


(Co-)Organized Scientific Meetings


Workshop on Dirichlet forms and their geometry at Tohoku University Sendai, March 18th  - March 23rd 2017 (organized by Jun Masamune, Nobuaki Obata, Marcel Schmidt, Toshihiro Uemura and Masaki Wada).

One Day Workshop New Directions in Mathematical Physics and beyond at FSU Jena, Wednesday January 14th 2015 (organized by Gerhard Bräunlich, Matthias Keller, Markus Lange and Marcel Schmidt).

International Conference Fractal Geometry and Stochastics V in Tabarz, local organizing committee.

Ph.D. Symposium in Chemnitz within the Fall school Dirichlet forms, operator theory and mathematical physics, Wednesday October 2nd 2013 (organized by Siegfried Beckus, Marcel Hansmann, Felix Pogorzelski and Marcel Schmidt).

Geometric aspects in probability and analysis at FSU Jena, September 14th 2013 (organized by Matthias Keller, Daniel Lenz and Marcel Schmidt).



Talks


July 2017,  Research Seminar 'Analysis' at Hokkaido University Sapporo, 'Does diffusion determine the geometry? '.

May 2017,  Research Seminar 'Geometric Analysis' at Universität Bielefeld, 'Energy forms - basic theory ' and 'Energy forms - Silverstein extensions '.

April 2017,  Operator Semigroups in Analysis: Modern Developments in  Bedlewo, 'Uniqueness of form extensions and domination of semigroups'.

March 2017,  Workshop  Interface between Comutative and Non-Commutative Stochastic Analysis  at  Hokkaido University Sapporo,   'Uniformly transient graphs'.

March 2017,  Workshop on Dirichlet forms and their geometry at  Tohoku University Sendai, Minicourse on 'Energy forms'.

January 2017, Miniworkshop on operator theoretic aspects of ergodic theory at Universität Leipzig, 'Does diffusion determine the geometry?'

August 2016, Workshop on discrete analysis at Fudan University Shanghai, 'Does diffusion determine the geometry?'

May 2016, PhD Seminar  Jena University, 'Uniformly transient and canoncially compactifiable graphs'.

March 2016, Research seminar 'Differential geometry' at the graduate center of CUNY New York, 'Does diffusion determine the geometry?'

January 2016, Workshop on spectral geometry at Universität Potsdam, 'Energy forms'.

November 2015, Reseach Seminar 'Diskrete Spektraltheorie' at Universität Potsdam, 'Energy forms'.

November 2015, Workshop on stochastic analysis and related topics at TU Dresden, 'Does diffusion determine the geometry?'

November 2014, PhD Seminar  Jena University Minicourse on 'Benjamini-Schramm convergent graph sequences and Iharas' Zeta function'.

September 2014, 11th Aoba-Yama PDE seminar at Tohoku University Sendai, Minicourse on 'Benjamini-Schramm convergent graph sequences and Iharas' Zeta function'.

August 2014, Stochastic Processes, Analysis and Mathematical Physics, at Kansai University Osaka,  'Does diffusion determine the geomtry?'

June 2014, PhD Seminar  Jena University 'Does diffusion determine the geomery?.

March 2014, Fractal Geometry and Stochastics V in Tabarz  'The Ihara Zeta function for infinie graphs'.

February 2014, Workshop Stochastic Processes and Mathematical Finance at Kansai University Osaka,  'Does diffusion determine the geomtry?'

February 2014, Research seminar at Tohoku University Sendai , 'Global properties of Dirichlet forms in terms of Green's formula'.

February 2014, Colloquium of GSIS at the  Tohoku University Sendai, 'Does diffusion determine the geomtry?'

October 2013, Research Seminar 'Analysis, Geometry and Stochastics' at Jena University, 'Global properties of Dirichlet forms in terms of Green's formula'.

June 2013, PhD Seminar  Jena University, 'A Feynman-Kac-Ito formula for magnetic Schrödinger operators on graphs'.

December 2012, Workshop 'Dirichlet forms, operator theory and mathematical physics' in Djerba, 'Global properties of Dirichlet forms in terms of Green's formula'.

September 2012, Workshop on Probability at Kansai University Osaka, 'Asymptotic stability of Markovian semigroups on $\ell^1$'.

September 2012, Conference Stochastic Analysis and Applications at Okayama University, 'Global properties of Dirichlet forms in terms of Green's formula'.

September 2012, German Student conference in Saarbrücken, 'Global properties of Dirichlet forms on discrete spaces'.

(Co-) Supervision

Jannis Koberstein, Surjectivity of graph Laplacians, Master 2016

Julian Weigt, Measurable equidecomposition, Bachelor 2015

Michael Schwarz, Boundary representation of Dirichlet forms on discrete spaces, Master 2015

Melchior Wirth, Uniqueness of form extensions and domination of semigroups, Master 2015

Jula McGibbon, Spektraltheorie irreduzibler Operatoren (Spectral theory of irreducible operators), Bachelor 2014

Frank Nußbaum, Construction of Markov processes on graphs and the Feynman-Kac formula, Bachelor 2013

Jannis Koberstein, Integraldarstellungen von Halbgruppen auf L^p (Integral representations of semigroups on L^p), Bachelor 2013


Teaching



SoSe 17 Vorlesung "Operatoren auf Mannigfaltigkeiten" (Math. Master)

WS 16/17 Übung "Analysis I" (Math. Bachelor)

WS 15/16 Vorlesung "Analysis II" (Physik Bachelor)

WS 14/15 Seminar "Das Banach-Tarski-Paradoxon"

WS 13/14
Seminar "Analysis on metric measure spaces"

SoSe 13
Vorlesung + Übung "Einführung in die Statistik für Wirtschaftsingenieure" (Fachhochschule Jena)

WS 12/13
Übung "Analysis I" (Physik Bachelor) und Seminar "Banachverbände"

SoSe 12
Übung "Höhere Analysis I" (Math. Bachelor)

WS  11/12
Übung "Elementare Wahrscheinlichkeitstheorie und math. Statistik" (Math. Lehramt Gymnasium)

SoSe 11
Übung "Analysis II" (Math. Bachelor)

WS 10/11
Übung "Elementare Wahrscheinlichkeitstheorie und math. Statistik" (Math. Lehramt Gymnasium)

WS 09/10

Übung "Einführung in die Stochastik" (Math. Lehramt Regelschule)