Leitung FG Stochastik

• Prof. Dr. Jochen Blath

Humboldt-Forschungspreisträger (ab Juli 2023) as guest scientist

• Prof. Dr. Jay T Lennon (Bloomington, US)

Longterm-guest during summer term 2023

• Prof. Dr. Matthias Birkner (JGU Mainz)

Sekretariat 

• Heike Suckfüll

Wissenschaftlicher Assistent

• Dr. Felix Hermann

Doktoranden

• MSc Dave Jacobi, DFG IRTG 2544  "Stochastic Analysis in Interaction"

• MSc Tobias Paul, MATH+ Berlin, project EF 4-7, co-Betreuung mit Prof. Dr. Maite Wilke-Berenguer (HU Berlin)

Wissenschaftliche Hilfskraft

• Alina Wagner

Gäste 2023

• Prof Dr Matthias Birkner, Mainz
• Dr Charline Smadi, Grenoble
• Dr Marcel Ortgiese, Bath

Gäste 2022

• Dr Adrián González Casanova, UNAM México City
• Dr Marcel Ortgiese, Bath
• Prof Dr Michael Scheutzow, TU Berlin
• Dr András Tóbias, Budapest
• MSc Dave Jacobi, TU Berlin

Ehemalig Doktoranden und PostDocs / Former PhD-students and postdocs

Dr. Sergej Beck, Dr. Eugenio Buzzoni, Prof. Dr. Leif Döring, Dr. Bjarki Eldon, Dr. Adrián González Casanova, Dr. Matthias Hammer, Prof. Dr. Jere Koskela, Prof. Dr. Noemi Kurt, Dr. Florian Nie, Dr. Marcel Ortgiese, Prof. Dr. Martin Slowik, Dr. Matthias Steinrücken, JPof. Dr. Florian Völlering, Prof. Dr. Maite Wilke-Berenguer

SoSe 2023

Vorlesung ,,Stochastische Prozesse" (4+2 SWS) (Eintrag im LSF)

Aktuelle Informationen zur Veranstaltung (Übungen, Hausaufgabenblätter etc.) finden Sie auf der Moodle/studium digitale Kursseite. Die Selbsteinschreibung über diese Seite ist jetzt möglich. Die organisatorischen Details zur Vorlesung besprechen wir auch zum ersten Vorlesungstermin am 11.04., 12:15, in H III (Hörsaaltrakt Bockenheim).

Seminar ,,Fortgeschrittene Themen der Stochastik und der stochastischen Populationsgenetik'' (2 SWS). (Eintrag im LSF)
Dieses Seminar richtet sich vor allem an die Teilnehmer meiner Vorlesung ,,Stochastische Modelle der Populationsgenetik''

Interessenten melden sich bitte bis zum 31.1. (per Email) bei mir. Ein Termin für die Vorbesprechung wird im Anschluss bekanntgegeben.

Oberseminar ,,Stochastik" (Eintrag im LSF). Weitere Informationen hier.

Oberseminar ,,SPIELE - Stochastic Processes in Evolution and Ecology" (Eintrag im LSF)
Dies ist eine Veranstaltungen für Absolventen der Arbeitsgruppe Stochastik unter Beteiligung weiterer Arbeitsgruppen, u.a. in Bath, Berlin, Frankfurt, Mainz und Warwick. 

Rhein-Main Kolloquium, Stochastik-Kolloquium: Informationen hier.

WiSe 2022/2023

Vorlesung / Lecture ,,Höhere Stochastik / Advanced Stochastics" (4+2 SWS) (Eintrag im LSF)

Please note that I will teach this course in English. All information concerning the lecture and exercise classes can be found on the corresponding moodle page. Lectures take place TUE and THU at 10:15 in RM10, 903.

Vorlesung ,,Stochastische Modelle der Populationsgenetik'' (2+1 SWS) (Eintrag im LSF)

Informationen zur Vorlesung und den Übungen finden Sie auf unserer moodle Seite.

Oberseminar ,,Stochastik" (Eintrag im LSF). Weitere Informationen hier.

Oberseminar ,,SPIELE - Stochastic Processes in Evolution and Ecology" (Eintrag im LSF)
Dies ist eine Veranstaltungen für Absolventen der Arbeitsgruppe Stochastik unter Beteiligung weiterer Arbeitsgruppen, u.a. in Bath,  Berlin, Frankfurt, Mainz und Warwick. 

Rhein-Main Kolloquium, Stochastik-Kolloquium: Informationen hier.

SoSe 2022

Vorlesung ,,Elementare Stochastik'' (4+2 SWS) (Eintrag im LSF)

Books edited:

• Surveys in Stochastic Processes Proceedings of the 33rd SPA Conference in Berlin 2009, EMS, (2011)
  Blath, J.; Imkeller, P.; Rœlly, S. (eds.) 
• Trends in Stochastic Analysis, LMS 353, Cambridge University Press, (2009)
  Blath, J.; Mörters, P.; Scheutzow, M. (eds.)
  

• On/off super-Brownian Motion: Characterization, construction and long-term behaviour, preprint (2023)
  with D. Jacobi
• The impact of dormancy on evolutionary branching, preprint (2022)
  with T. Paul, A. Tobias, M. Wilke Berenguer
• The contact process with switching, preprint (2022)
  with F. Hermann, M. Reitmeier
• How the interplay of dormancy and selection affects the wave of advance of an advantageous gene, preprint (2021)
  with D. Jacobi, F. Nie.

Articles:

• A stochastic adaptive dynamics model for bacterial populations with mutation, dormancy and transfer, ALEA Lat Am J Probab Math Stat 20, 313-357, (2023)
  with T. Paul, A. Tobias.
• Virus dynamics in the presence of contact-mediated host-dormancy, ESAIM: Probability and Statistics 27, 174-220, (2023)
  with A. Tòbias
• The stochastic Fisher-KPP equation with seed bank and on/off branching Brownian motion, Stoch PDE: Anal Comp, (2022)
  with M. Hammer, F. Nie
• Principles of seed banks and the complexity emerging from dormancy,  Nature Communications 12, 4807, (2021)
  with J. T. Lennon, F. den Hollander, M. Wilke Berenguer
• The interplay of dormancy and transfer in bacterial populations: Invasion, fixation and coexistence regimes, Theor Pop Biology 139,18-49 (2021)
  with A. Tóbiás
• A branching process model for dormancy and seed banks in randomly fluctuating environments,  J Math Biology 85(17), (2021)
  with F. Hermann, M. Slowik
• Invasion and fixation of microbial dormancy traits under competitive pressure, Stoch Proc Appl 130(12), (2020)
  with A. Tóbiás
• Statistical tools for seed bank detection, Theor Pop Biology 132, 1-15, (2020)
  with E. Buzzoni, J. Koskela, M. Wilke-Berenguer
• The symbiotic branching model: Duality and Interfaces, in: Probabilistic Structures in Evolution (E. Baake and A. Wakolbinger, eds.), EMS Press, Berlin, 311-336, (2021)
  with M. Ortgiese
  
• Genealogies and inference for populations with highly skewed offspring distributions, in: Probabilistic Structures in Evolution (E. Baake and A. Wakolbinger, eds.), EMS Press, Berlin, 151-178, (2021)
  with M. Birkner
• Population genetic models of dormancy, in: Probabilistic Structures in Evolution (E. Baake and A. Wakolbinger, eds.), EMS Press, Berlin, 247-266, (2021)
  with N. Kurt
• Separation of time-scales for the seed bank diffusion and its jump-diffusion limit, J Math Biology 82(53), (2021)
  with E. Buzzoni, A. Gonzalez-Casanova, M. Wilke-Berenguer 
  
• The seed bank coalescent with simultaneous switching,  Electron J Probability 25, 1-21, (2020)
  with N. Kurt, A. Gonzalez-Casanova, M. Wilke-Berenguer
• Structural properties of the seed bank and the two-island diffusion, J Math Biology 79(1), 369-392, (2019)
  with E. Buzzoni, A. Gonzalez-Casanova, M. Wilke-Berenguer 
• The site-frequency spectrum associated with Xi-coalescents, Theor Pop Biology 10, 36-50, (2016)
  with M. Cronjaeger, B. Eldon, M. Hammer 
• The scaling limit of the interface of the continuous-space symbiotic branching model, Annals of Probability 44(2), 807-866, (2016)
  with M. Hammer, M. Ortgiese
• A new coalescent for seed-bank models, Annals of Applied Probability 26(2), 857-891, (2016)
  with A. Gonzalez-Casanova, N. Kurt, M. Wilke-Berenguer 
• Genetic variability under the seed bank coalescent, Genetics 200, 921-934, (2015)
  with B. Eldon, A. Gonzalez-Casanova, N. Kurt, M. Wilke-Berenguer 
• Can the site-frequency spectrum distinguish exponential population growth from multiple-merger coalescents?, Genetics 199, 841-856, (2015)
  with M. Birkner, B. Eldon, F. Freund 
• Genealogy of a Wright Fisher model with strong seed-bank component, Birkhäuser Progress in Probability 69, 81-100, (2015)
  with A. Gonzalez Casanova, B. Eldon, N. Kurt 
• A new class of large claim size distribution: Definition, properties, and ruin theory, Bernoulli 21, 2457-2483, (2015)
  with S. Beck, M. Scheutzow 
• The largest strongly connected component in Wakeley et al's cyclical pedigree model, Theor Pop Biology 98, 28-37, (2014)
  with S. Kadow, M. Ortgiese 
• Strong seedbank effects in bacterial evolution, J Theoretical Biology 356, 62-70, (2014)
  with A. González-Casanova, E. Aguirre-von-Wobeser, G. Espín, L. Servín-González, N. Kurt, D. Spanò, G. Soberón-Chávez 
• (G, \mu)-quadratic stochastic operators, J Difference Equations and Applications 20 (8), 1258-1267, (2014) 
  with U. Jamilov, M. Scheutzow 
• Statistical properties of the site-frequency spectrum associated with Lambda-coalescents, Genetics 195, 1037-1053, (2013)
  with M. Birkner, B. Eldon 
• On the ancestral process of long-range seedbank models, J Applied Probability 50 (3), 741-759, (2013)
  with A. Gonzalez Casanova, N. Kurt, D. Spano 
• An ancestral recombination graph for diploid populations with skewed offspring distribution, Genetics 193, 255-290, (2013)
  with M. Birkner, B. Eldon 
• Analysis of DNA sequence variation within marine species using Beta-coalescents, Theor Pop Biology 87, 15-24, (2013) 
  with M. Steinruecken, M. Birkner 
• Lebensversicherungsmathematik, Kapitel 8.2 im Springer Taschenbuch der Mathematik, Springer Spektrum, 3. Aufl., 997-1005, (2012) 
• Schadenversicherungsmathematik, Kapitel 8.3 im Springer Taschenbuch der Mathematik, Springer Spektrum, 3. Aufl., 1005-1015, (2012)
• Survival and Extinction of Caring Double-Branching Annihilating Random Walk, Electron Comm Probability 16, 271-282, (2011)
  with N. Kurt 
• On the moments and the interface of the symbiotic branching model, Annals of Probability 39, 252-290, (2011)
  with L. Döring, A. Etheridge 
• Importance Sampling for Lambda Coalescents in the infinitely many sites model, Theor Pop Biology 79, 155-173, (2011)
  with M. Steinruecken, M. Birkner 
• Rescaled stable generalised Fleming-Viot processes: Flickering random measures, Electron J Probab. 15, 2418-2437, (2009)
  with M. Birkner 
• Measure-valued Processes, Self-Similarity, and Flickering Random Measures, Birkhäuser Progress in Probability 61, 175-196, (2009) 
• A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks, ALEA Lat Am J Probab Math Stat. 6, 25-61, (2009)
  with M. Birkner, M. Möhle, M. Steinrücken, J. Tams 
• Measure-valued diffusions, general coalescents and population genetic inference, Trends in Stochastic Analysis LMS 353, Cambridge University Press, 329-363, (2009)
  with M. Birkner
• Propagation of singularities in the semi-fractional Brownian sheet, Stoch Proc Appl 118, 1264-1277, (2008)
  with A. Martin 
• Computing likelihoods for coalescents with multiple collisions in the infinitely-many-sites model, J Math Biology 57, 435-465, (2008)
  with M. Birkner
• Inference for Lambda-coalescents, WIAS Preprint 1211, 38 pages, (2007)
  with M. Birkner 
• Coexistence in locally regulated competing populations and survival of branching annihilating random walk, Annals of Applied Probability 17, 1474-1507, (2007), extended version available here.
  with A. Etheridge, M. Meredith 
• Thick points of super-Brownian motion. Probab Theory Related Fields 131, 604-630, (2005)
  with P. Moerters, [available at springerlink.com]
• Alpha-stable branching and Beta-coalescents. Electron J Probab. 10, 303-325, (2005)
  with M. Birkner, M. Capaldo, A. Etheridge, M. Möhle, J. Schweinsberg, A. Wakolbinger

MATH+ Berlin Mathematics Research Center (DFG excellence cluster EXC-2046/1)

• Project EF 4-7 "The impact of dormancy on the evolutionary, ecological and pathogenic properties of microbial populations ", PI jointly with Prof. Dr. Maite Wilke Berenguer (HU Berlin), 1 PhD-student (since 2021)

DFG funded projects:

• DFG BL 1105/5-1. "The role of dormancy in population genetics", project within DFG SPP 1590, 1 post-doc for 3 years.
• DFG BL 1105/4-1, "Interacting stochastic partial differential equations, combinatorial stochastic processes and duality in spatial population dynamics", project within DFG SPP 1590, 1 post-doc for 2 years.
• DFG BL 1105/3-2, "Genealogies and inference for populations with highly skewed offspring distributions under further evolutionary forces", project within DFG SPP 1590, 1 post-doc for 3 years.
• DFG BL 1105/3-1, "Genealogies and inference for populations with highly skewed offspring distributions under further evolutionary forces", project within DFG SPP 1590, 1 post-doc for 3 years.
• DFG BL 1105/2-1, "Stochastic PDEs, combinatorial stochastic processes and duality", 1 post-doc for 1 year.
• DFG BL 1105/1-1, internationcal Conference "SPA - 33rd Conference on Stochastic Processes and Their Applications" (2009), conference funding.

Participation in DFG collaborative grants (selection):

• DFG IRTG 2544 Berlin - Oxford, supervisor for the PhD project of Dave Jacobi (since 2020)
• Stellv. Sprecher, DFG RTG 1845 "Stochastic analysis with applications in biology, finance and physics" (2011-2016)
• DFG RTG 1845, supervisor for PhD project of Dr Adrián González Casanova (now at UNAM Mexico City)
• DFG IRTG 1339 Berlin - Zurich, supervisor for the PhD project of Dr Matthias Steinrücken (now at U Chicago)
• DFG SPP 1590 Probabilistic Structures in Evolution
• BMS Berlin Mathematical School, member of BMS committee (governing body of BMS, 2018-2022)
• BMS Berlin Mathematical School, member of admissions committee (2011-2022), member of faculty (2009-2022)

• 06/2024 (upcoming): CIRM conference on “Probability and Evolutionary Biology", Luminy, F
• 09/2023 (upcoming): Workshop "Stochastic models in Life Sciences", Eurandom, Eindhoven, NL
• 07/2023 (upcoming): Antrittsvorlesung, Goethe-Universität Frankfurt
• 06/2023 (upcoming): CMMS Center for multiscale modeling / FIAS, Frankfurt
• 03/2023: Talk on "Probabilistic structures emerging from dormancy", CRM - ISM Montreal probability seminar, Montreal, Canada
• 12/2022: Talk on "Dualities in population dynamics and evolution: Recent progress and open problems.", workshop "Stochastic duality", Eurandom, Eindhoven, NL
• 11/2022: Berlin Probability Colloquium / IRTG 2544 "The effects of dormancy in populationgenetics, evolution and ecology"
• 11/2022: Alumni-Treffen am IfM, GU Frankfurt "Stochastische Modelle der Populationsgenetik"
• 07/2022: Talk on "The effects of dormancy in population genetics and population dynamics", mini-symposium on dormancy at "Mathematical Modeling in Evolution and Ecology" MMEE Conference 2022, University of Reading, UK
• 05/2022: Minicourse (4 Lectures) on "The effects of dormancy in population genetics and population dynamics", Junior Trimester on stochastic modelling in the life science, Hausdorff Research Institute for Mathematics (HIM), Bonn
• 03/2022: Talk on "Probabilistic patterns emerging from dormancy: Results and perspectives", MFO workshop 2210 on "Population dynamics and Statistical physics in Synergy", Mathematisches Forschungsinstitut Oberwolfach (MFO).