Adrian Gonzalez Casanova
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Office 639, Wexler Hall Tempe,, AZ 85281
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Mail code: 1804Campus: Tempe
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Adrian Gonzalez Casanova is interested in probability theory and its applications in theoretical biology, including modelling, simulation and data-driven approaches.
His research primarily focuses on studying interacting particle systems, stochastic duality, coalescent processes, seed-bank models (stochastic delay differential equations), and the modeling of experimental evolution.
Currently, he is exploring various areas, including:
- Biological Latency and how it shapes the fate of competing populations
- Stochastic Duality and its relationship to Exchangeability and Intertwining
- Lookdown Representations and the propagation of exchangeability
- Griffiths representations of the generators of a Levy Diffusion
- Continuous State Branching Processes and generalised Coalescent Processes.
- Experimental Evolution: from Data-Driven Mathematical Modeling to experimental design
- Antibiotic Resistance: Through the Lens of Population Genetics
- Game Theory: Bridging Economics and Evolution
- Public Health: Utilizing Individual-Based Models to Assess Policy Impact, such as the Risk of Cardiac Failure in Individuals with HIV
- Interacting Particle Systems: including the Simple Exclusion Process and the Contact Process
- Branching Fractional Brownian Process: Constructed via the Seed Bank Random Graph approach
Casanova completed a postdoctoral fellowship at the Weierstrass Institute and was later an assistant and associate professor at UNAM, and a Neyman Visiting Assistant Professor at University of California, Berkeley. His work won the Itô Prize in 2017 and the Feldman Prize in 2022. He is a member of the Latin American Academy of Sciences.
PhD Technische Universität Berlin, Germany
I'm interested in Probability Theory and its applications in Theoretical Biology, including modelling, simulation and data-driven approaches.
My research primarily focuses on studying Interacting Particle Systems, Stochastic Duality, Coalescent Processes, Seed-Bank Models (Stochastic Delay Differential Equations), and the modeling of Experimental Evolution.
Currently, I'm exploring various areas, including:
- Biological Latency and how it shapes the fate of competing populations
- Stochastic Duality and its relationship to Exchangeability and Intertwining
- Lookdown Representations and the propagation of exchangeability
- Griffiths representations of the generators of a Levy Diffusion
- Continuous State Branching Processes and generalised Coalescent Processes.
- Experimental Evolution: from Data-Driven Mathematical Modeling to experimental design
- Antibiotic Resistance: Through the Lens of Population Genetics
- Game Theory: Bridging Economics and Evolution
- Public Health: Utilizing Individual-Based Models to Assess Policy Impact, such as the Risk of Cardiac Failure in Individuals with HIV
- Interacting Particle Systems: including the Simple Exclusion Process and the Contact Process
- Branching Fractional Brownian Process: Constructed via the Seed Bank Random Graph approach
Current
Graduate Students
- Jose Chacon
- Imanol Nuñez (Jointly with Jose Luis Perez, CIMAT)
Former
Postdoc
- Veronica Miro Pina (2018-2020, Co-supervised with Arno Siri Jegousse) http://www.normalesup.org/~miropina/
Graduate Students
- Lizbeth Peñaloza (2019-2022, Ph.D. Co-supervised with Arno Siri Jegousse) https://www.researchgate.net/profile/Lizbeth-Penaloza
- Nils Hansen (2019-, Ph.D. Co-supervised with Maite Wilke Berenguer)
Coauthors:
- Eneas Aguirre-von-Wobeser (CIAD, Mexico)
- Ellen Baake (Bielefeld, Germany)
- Airam Blancas (ITAM, Mexico)
- Jochen Blath (Frankfurt, Germany)
- Florin Boenkost (Vienna, Austria)
- Eugenio Buzzoni (Deutsche Bank, Germany)
- María Emilia Caballero (UNAM, Mexico)
- Fernando Cordero (Bielefeld, Germany)
- Bjarki Eldon (Museum of Natural History, Germany)
- Guadalupe Espín (UNAM, Mexico)
- Simone Floreani (University of Oxford, England)
- Maria Clara Fittipaldi (UNAM, Mexico)
- Inés González-Casanova (University of Indiana, USA)
- Jan Lukas Igelbrink (Frankfurt, Germany)
- Noemi Kurt (Frankfurt, Germany)
- Julio Ernesto Nava (University of Oxford, England)
- Juan Carlos Pardo (CIMAT, UNAM)
- José Luis Pérez (CIMAT, UNAM)
- Lizbeth Peñaloza (Universidad del Mar, Mexico)
- Rafael Peña-Miller (UNAM, Mexico)
- Cornelia Pokalyuk (Lübeck, Germany)
- Sebastian Hummel (University of California at Berkeley)
- Sebastian Probst
- Sandra Palau (UNAM, Mexico)
- Emannuel Schertzer (Vienna, Austria)
- Jason Schweinsberg (University of California at San Diego)
- Luis Servín-González (UNAM, Mexico)
- Arno Siri-Jégousse (UNAM, Mexico)
- Charline Smadi (Grenoble, France)
- Gloria Soberón-Chávez (UNAM, Mexico)
- Dario Spanò (University of Warwick, England)
- András Tóbiás (Budapest, Hungary)
- Daniel Valesin (University of Warwick, England)
- Anton Wakolbinger (Frankfurt, Germany)
- Maite Wilke-Berenguer (Humboldt University of Berlin, Germany)
- Linglong Yuan (University of Liverpool, England)
Publications in press
1. Scaling limit of an adaptive contact process, A. Gonz alez Casanova, A. Tobias, D. Valesin. arXiv:2207.03455 (accepted at the Annals of Probability)
2. The ratio of two general continuous-state branching processes with immigration, and its relation to coalescent theory M. E. Caballero, A. Gonzalez Casanova, J.L. Perez. arXiv:2010.00742 (accepted at the Annals of Applied Probability)
3. Alpha-stablebranchingandbeta-Frequencyprocesses,beyondtheIIDassumption. A. Gonzalez Casanova, I. Nuñez, J. L. Perez. arXiv:2303.05477 (accepted at the Electronic Communications of Probability)
4. Quasi-equilibria and click times for a variant of Muller’s ratchet. A. Gonz ́alez Casanova, C. L. Smadi, A. Wakolbinger. arXiv:2211.13109 (accepted at the Electronic Journal of Probability)
5. The stochastic speed of coming down from infinity for general Dirichlet Xi-coalescents, A. Gonzalez Casanova, V. Miro Pina, E. Schertzer, A. Siri-Jegousse. arXiv:2209.13438 (accepted at the Electronic Journal of Probability)
Selected papers in Probability
Lambda-coalescents arising in populations with dormancy. F. Cordero, A. Gonzalez Casanova, J. Schweinsberg, M. Wilke-Berenguer. (Electronic Journal of Probability 2022).
The Symmetric Coalescent and Wright-Fisher models with bottlenecks, A. Gonzalez Casanova, V. Miro Pina, A. Siri-Jegousse. (Annals of Applied Probability 2022).
Particle systems with coordination. A. Gonzalez Casanova. N. Kurt, A. Tobias. (ALEA 2021)
Haldane's formula in Cannings models: The case of moderately weak selection. F. Boenkost, A. Gonzalez Casanova, C. Pokalyuk, A. Wakolbinger. (Electronic Journal of Probability 2021)
The seed bank coalescent with simultaneous switching. J. Blath, A. Gonzalez Casanova, N. Kurt, M. Wilke-Berenguer. (Electronic Journal of Probability 2020)
Duality and Fixation in Xi-Wright-Fisher processes with frequency-dependent selection. A. Gonzalez Casanova, D. Spano. (The Annals of Applied Probability 2018)
An individual based Model for the Lenski experiment, and the deceleration of the relative fitness. A. Gonzalez Casanova, N. Kurt, A. Wakolbinger and L.Yuan. (Stochastic Processes and their Applications 2016) Winner of the Ito Prize 2017.
A new coalescent for seed-bank models. J. Blath, A. Gonzalez Casanova, N. Kurt and M. Wilke-Berenguer. (The Annals of Applied Probability 2016)
Selected papers in Applied Mathematics (modeling, simulation and data-driven projects)
Plasmid stability in fluctuating environments: population genetics of multi-copy plasmids. J. Carlos R. Hernandez-Beltran, Veronica Miro Pina, Arno Siri-Jegousse, Sandra Palau, Rafael Peña-Miller, A. Gonzalez Casanova. (Ecology and Evolution 2023)
The role of connectivity on COVID-19 preventive approaches. V. Miro Pina, J. Nava-Trejo, A. Tobias, E. Nzabarushimana, A. Gonzalez Casanova, I. Gonzalez-Casanova. 17(9). (PLOS ONE 2022)
The Wright-Fisher model with efficiency. A. Gonzalez Casanova, V. Miro Pina, J. C. Pardo. (Theoretical Population Biology 2020)
Modelling and simulating Lenski's long-term evolution experiment. E, Baake, A. Gonzalez Casanova, S. Probst, A. Wakolbinger. (Theoretical Population Biology 2019) Winner of the Feldman Prize 2022.
Genetic variability under the seed-bank coalescent. J. Blath, B. Eldon, A. Gonzalez Casanova, N. Kurt and M. Wilke-Berenguer. (Genetics 2015)
Full list of publications
Publications
- Seed bank Cannings Graphs: How dormancy smoothes random genetic drift. A. Gonzalez Casanova, L. Peñaloza, A. Siri-Jegousse. arXiv:2210.05819 (ALEA 2023)
- Plasmid stability in fluctuating environments: population genetics of multi-copy plasmids. J. Carlos R. Hernandez-Beltran, Vernica Miro Pina, Arno Siri-Jegousse, Sandra Palau, Rafael Peña-Miller, A. Gonz ́alez Casanova. (Ecology and Evolution 2023)
- The role of connectivity on COVID-19 preventive approaches. V. Miro Pina, J. Nava-Trejo, A. Tobias, E. Nzabarushimana, A. Gonzalez-Casanova, I. Gonzalez-Casanova. 17(9). (PLOS ONE 2022)
- Λ-coalescents arising in populations with dormancy. F. Cordero, A. Gonzalez Casanova, J. Schweinsberg, M. Wilke-Berenguer. (Electronic Journal of Probability 2022).
- TheSymmetric Coalescent and Wright-Fisher models with bottlenecks, A. Gonzalez Casanova, V. Miro Pina, A. Siri-Jegousse. (Annals of Applied Probability 2022).
- The shape of a seed bank tree. A. Gonzalez Casanova, L. Peñaloza, A. Siri-Jegousse. (Journal of Applied Probability 2022).
- Haldane’s formula in Cannings models: The case of moderately strong selection. F. Boenkost, A. Gonzalez Casanova, C. Pokalyuk, A. Wakolbinger. (Journal of Mathematical Biology 2021)
- Particle systems with coordination. A. Gonzalez Casanova. N. Kurt, A. Tobias. (ALEA 2021)
- Separation of time-scales for the seed bank diffusion and its jump-diffusion limit. J. Blath, E. Buzzoni, A. Gonzalez Casanova, M. Wilke-Berenguer. (Journal of Mathematical Biology 2021)
- Branching processes with interactions: the subcritical cooperative regime. A. Gonzalez Casanova, J. C. Pardo, J. L. Perez. (Advances in Applied Probability, 2021)
- Haldane’s formula in Cannings models: The case of moderately weak selection. F. Boenkost, A. Gonzalez Casanova, C. Pokalyuk, A. Wakolbinger. (Electronic Journal of Probability 2021)
- Multidimensional Λ-Wright-Fisher processes with general frequency-dependent selection. A. Gonzalez Casanova, Ch. Smadi. (Journal of Applied Probability, 2020)
- The Wright-Fisher model with efficiency. A. Gonzalez Casanova, V. Miro Pina, J. C. Pardo. (Theoretical Population Biology 2020)
- The seed bank coalescent with simultaneous switching. J. Blath, A. Gonzalez Casanova, N. Kurt, M. Wilke-Berenguer. (Electronic Journal of Probability 2020)
- Structural properties of the seed bank and the two-island diffusion. J. Blath, E. Buzzoni, A. Gonzalez Casanova, and M. Wilke Berenguer. (Journal of Mathematical Biology 2019)
- Modelling and simulating Lenski’s long-term evolution experiment. E, Baake, A. Gonzalez Casanova, S. Probst, A. Wakolbinger. (Theoretical Population Biology 2019)
- Duality and Fixationin Ξ-Wright-Fisher processes with frequency-dependent selection. A. Gonzalez Casanova, D. Spano. (The Annals of Applied Probability 2018)
- An individual based Model for the Lenski experiment, and the deceleration of the relative fitness. A. Gonzalez Casanova, N. Kurt, A. Wakolbinger and L. Yuan. (Stochastic Processes and their Applications 2016)
- A new coalescent for seed-bank models. J. Blath, A. Gonzalez Casanova, N. Kurt and M. Wilke-Berenguer. (The Annals of Applied Probability 2016)
- Genetic variability under the seed-bank coalescent. J. Blath, B. Eldon, A. Gonzalez Casanova, N. Kurt and M. Wilke-Berenguer. (Genetics 2015)
- Genealogy of a Wright-Fisher model with strong seed-bank component. J. Blath, B. Eldon, A. Gonzalez Casanova and N. Kurt. (Birkhaeuser Progress in Probability 2014)
- Strong seed-bank effects in bacterial evolution. A. Gonz ́alez Casanova, E. Aguirre, G. Espin, L. Servin-Gonzalez, N. Kurt, D. Spano, J. Blath and G. Soberon-Chavez. (Journal of Theoretical Biology 2014)
- The ancestral process of long-range seed-bank models. J. Blath, A. Gonzalez Casanova, N. Kurt and D. Spano. (Journal of Applied Probability 2013)
Submitted
- Absorption and stationary times for the Λ-Wright-Fisher process. A. Blancas, A. Gonzalez Casanova, S. Palau, S. Hummel. arXiv:2308.09218
- Non-equilibrium steady state of the symmetric exclusion process. S. Floriani, A. Gonzalez Casanova. arXiv:2307.02481.
- The ancestral selection graph for a Λ-asymmetric Moran model. A. Gonzalez Casanova, N. Kurt, J. L. Perez Garmendia. arXiv:2306.00130
- Muller’s ratchet in a near-critical regime: tournament versus fitness proportional selection. J.L Igelbrink, A. Gonzalez Casanova, C. L. Smadi, A. Wakolbinger. arXiv:2306.00471
- Lookdown construction for a Moran seed-bank model. M. C. Fittipaldi A. Gonzalez Casanova, J. E. Nava. arXiv:2305.12489
- Seed balancing selection: Coexistence in seedbank models. A. Gonzalez Casanova, J. L. Perez Garmendia, M. E. Caballero. arxiv:2109.07645
- The effective strength of selection in random environment. A. Gonzalez Casanova, D. Spano, M. Wilke-Berenguer. arXiv:1903.12121
I'm interested in Probability Theory and its applications in Theoretical Biology, including modelling, simulation and data-driven approaches.
My research primarily focuses on studying Interacting Particle Systems, Stochastic Duality, Coalescent Processes, Seed-Bank Models (Stochastic Delay Differential Equations), and the modeling of Experimental Evolution.
Currently, I'm exploring various areas, including:
- Biological Latency and how it shapes the fate of competing populations
- Stochastic Duality and its relationship to Exchangeability and Intertwining
- Lookdown Representations and the propagation of exchangeability
- Griffiths representations of the generators of a Levy Diffusion
- Continuous State Branching Processes and generalised Coalescent Processes.
- Experimental Evolution: from Data-Driven Mathematical Modeling to experimental design
- Antibiotic Resistance: Through the Lens of Population Genetics
- Game Theory: Bridging Economics and Evolution
- Public Health: Utilizing Individual-Based Models to Assess Policy Impact, such as the Risk of Cardiac Failure in Individuals with HIV
- Interacting Particle Systems: including the Simple Exclusion Process and the Contact Process
- Branching Fractional Brownian Process: Constructed via the Seed Bank Random Graph approach
Courses
2025 Spring
| Course Number | Course Title |
|---|---|
| MAT 494 | Special Topics |
2024 Fall
| Course Number | Course Title |
|---|---|
| MAT 343 | Applied Linear Algebra |