Welcome.

I am Lucas Böttcher. Below you can find some information about me and my research.

About

Current and Past Positions
Education (courses)
Awards
Memberships


Publications

Articles
  1. L. Böttcher, S. Wald, T. Chou, Mathematical Characterization of Private and Public Immune Repertoire Sequences, arXiv:2205.08750, biorxiv:2022.05.17.492232v1, Gitlab repo
  2. M. R. D'Orsogna, L. Böttcher, T. Chou, Gender and Drug Overdose Deaths in the United States, 2013--2020, preprint
  3. M. Xia, L. Böttcher, T. Chou, Spectrally adapted physics-informed neural networks for solving unbounded domain problems, arXiv:2202.02710, Gitlab repo
  4. L. Böttcher, T. Asikis, I. Fragkos, Solving Inventory Management Problems with Inventory-dynamics-informed Neural Networks, arXiv:2201.06126, Gitlab repo
  5. N. Antulov-Fantulin, L. Böttcher, On the accuracy of short-term COVID-19 fatality forecasts, BMC Infect. Dis. 22, 251 (2022), arXiv:2107.09891, GitHub repo
  6. L. Böttcher, H. Gersbach, D. Wernli, Restoring the Antibiotic R&D Market to combat the Resistance Crisis, Sci. Public Policy, scab067 (2021)
  7. M. Xia, L. Böttcher, T. Chou, Controlling epidemics through optimal allocation of test kits and vaccine doses across networks, IEEE Trans. Netw. Sci. Eng. (early access), arXiv:2107.13709, GitLab repo
  8. T. Schneider, O. R. A. Dunbar, J. Wu, L. Böttcher, D. Burov, A. Garbuno-Inigo, G. L. Wagner, S. Pei, C. Daraio, R. Ferrari, J. Shaman, Epidemic Management and Control Through Individual Risk-Tailored Contact Interventions, PLOS Comp. Biol. (2022), arXiv:2109.10970, GitHub repo
  9. L. Böttcher, N. Antulov-Fantulin, T. Asikis, AI Pontryagin or how artificial neural networks learn to control dynamical systems, Nat. Commun. 13, 333 (2022), arXiv:2103.06525, GitHub repo
  10. L. Böttcher, M. R. D'Orsogna, T. Chou, A statistical model of COVID-19 testing in populations: effects of sampling bias and testing errors, Philos. Trans. Royal Soc. A 380, 20210121 (2021), medRxiv:2021.05.22.21257643, arXiv:2105.11961, GitHub repo
  11. L. Böttcher, J. Nagler, Decisive Conditions for Strategic Vaccination against SARS-CoV-2, Chaos 31, 101105 (2021), medRxiv:2021.03.05.21252962, GitHub repo
  12. L. Böttcher, G. Kernell, Tradeoffs in Hierarchical Voting Systems, arXiv:2110.02298
  13. D. Wernli, M. Clausin, N. Antulov-Fantulin, J. Berezowski, N. Biller, K. Blanchet, L. Böttcher, C. Burton-Jeangros, G. Escher, A. Flahault, K. Fukuda, D. Helbing, P. D. Jaffé, P. S. Jørgensen, Y. Kaspiarovich, J. Krishnakumar, J. Berezowski, R. J. Lawrence, K. Lee, A. Léger, N. Levrat, R. Martischang, C. M. Morel, D. Pittet, M. Stauffer, F. Tediosi, F. Vanackere, J.-D. Vassalli, G. Wolff, O. Young, Building a multisystemic understanding of societal resilience to the COVID-19 pandemic, BMJ Glob. Health 6, e006794 (2021)
  14. L. Böttcher, M. R. D'Orsogna, T. Chou, Using excess deaths and testing statistics to determine estimates of COVID-19 mortalities, Eur. J. Epidemiol. 36, 545--558 (2021), medRxiv:2021.01.10.21249524, arXiv:2101.03467, GitHub repo
  15. L. Böttcher, M. A. Porter, Classical and quantum random-walk centrality measures in multilayer networks, SIAM J. Appl. Math. 81, 2704--2724 (2021), arXiv:2012.07157, Gitlab repo
  16. S. Wald, L. Böttcher, From classical to quantum walks with stochastic resetting on networks, Phys. Rev. E 103, 012122 (2021), arXiv:2008.00510, GitHub repo
  17. T. Asikis, L. Böttcher, N. Antulov-Fantulin, Neural ordinary differential equation control of dynamics on graphs, Phys. Rev. Res. 4, 013221 (2022), arXiv:2006.09773, GitHub repo
  18. P. Richter, M. Henkel, L. Böttcher, Aging and equilibration in bistable contagion dynamics, Phys. Rev. E 102, 042308 (2020), arXiv:2006.05937
  19. S.D.S. Reis, L. Böttcher, J.P. da C. Nogueira, G.S. Sousa, A.S. Lima Neto, H.J. Herrmann, J.S. Andrade Jr, Spatio-temporal characteristics of dengue outbreaks, arXiv:2006.02646
  20. L. Böttcher, M. Xia, T. Chou, Why case fatality ratios can be misleading: individual- and population-based mortality estimates and factors influencing them, Phys. Biol. 17, 065003 (2020), arXiv:2003.12032, medRxiv:2020.03.26.20044693
  21. L. Böttcher, N. Antulov-Fantulin, Unifying continuous, discrete, and susceptible-infected-recovered processes on networks, Phys. Rev. Res. 2, 033121 (2020), arXiv:2002.11765
  22. L. Böttcher, H. Gersbach, Incentivizing Narrow-Spectrum Antibiotic Development with Refunding, Bull. Math. Biol. 84, 59 (2022), arXiv:2007.06468, medRxiv:2020.07.13.20152652, CEPR:DP15512
  23. F. D'Angelo, L. Böttcher, Learning the Ising Model with Generative Neural Networks, Phys. Rev. Res. 2, 023266 (2020), arXiv:2001.05361, GitHub repo
  24. L. Böttcher, A Random-Line-Graph Approach to Overlapping Line Segments, J. Complex Netw. 8, cnaa029 (2020), arXiv:1911.10679
  25. S. Nauer, L. Böttcher, M. A. Porter, Random-Graph Models and Characterization of Granular Networks, J. Complex Netw. 8, cnz037 (2019), arXiv:1907.13424
  26. S. Xu, L. Böttcher, T. Chou, Diversity in biology: definitions, quantification, and models, Phys. Biol. 17, 031001 (2020), arXiv:1908.08190
  27. L. Böttcher, H. Gersbach, The Great Divide: Quantifying Drivers of Polarization in the US Public, EPJ Data Science 9, 32 (2020), arXiv:2001.05163, GitLab repo
  28. L. Böttcher, P. Montealegre, E. Goles, H. Gersbach, Competing Activists--Political Polarization, Physica A 545, 123713 (2019), arXiv:1910.14531
  29. S. Strub, L. Böttcher, Modeling Deformed Transmission Lines for Continuous Strain Sensing Applications, Meas. Sci. Technol. 31, 035109 (2019), arXiv:1912.13319
  30. M. Hoferer, L. Böttcher, H.J. Herrmann, H. Gersbach, The Impact of Technologies in Political Campaigns, Physica A 538, 122795 (2019), arXiv:1909.07644
  31. L. Böttcher, H.J. Herrmann, H. Gersbach, Clout, Activists and Budget: The Road to Presidency, PLOS One 13(3):e0193199. (2018), arXiv:1802.02048
  32. L. Böttcher, H.J. Herrmann, M. Henkel, Dynamical universality of the contact process, J. Phys. A 51, 125003 (2018), arXiv:1802.00037
  33. L. Böttcher, J. S. Andrade Jr., H.J. Herrmann, Targeted Recovery as an Effective Strategy against Epidemic Spreading, Sci. Rep. 7, 14356 (2017), arXiv:1710.05807
  34. L. Böttcher, J. Nagler, H.J. Herrmann, Critical Behaviors in Contagion Dynamics, Phys. Rev. Lett. 118, 088301 (2017), arXiv:1701.08988, GitHub repo
  35. L. Böttcher, O. Woolley-Meza, D. Brockmann, Temporal dynamics of online petitions, PLOS One 12(5):e0178062. (2017), arXiv:1705.04202
  36. L. Böttcher, M. Lukovic, J. Nagler, S. Havlin, H.J. Herrmann, Failure and recovery in dynamical networks, Sci. Rep. 7, 41729 (2017), arXiv:1610.00997
  37. L. Böttcher, O. Woolley-Meza, E. Goles, D. Helbing, H.J. Herrmann, Connectivity disruption sparks explosive epidemic spreading, Phys. Rev. E 93, 042315 (2016), arXiv:1604.07783
  38. L. Böttcher, N.A.M. Araújo, J. Nagler, J.F.F. Mendes, D. Helbing, H.J. Herrmann, Gender gap in the ERASMUS mobility program, PLOS One 11(2):e0149514. (2016), arXiv:1602.01442
  39. L. Böttcher, O. Woolley-Meza, N.A.M. Araújo, H.J. Herrmann, D. Helbing, Disease-induced resource constraints can trigger explosive epidemics, Sci. Rep. 5, 16571 (2015), arXiv:1508.05484, ssrn.2496128
  40. R. Mani, L. Böttcher, H.J. Herrmann, D. Helbing, Extreme power law in a driven many-particle system without threshold dynamics, Phys. Rev. E 90, 042201 (2014), arXiv:1404.7460

Books, chapters, conference proceedings, and other scholarship
  1. L. Böttcher, H.J. Herrmann, Computational Statistical Physics, Cambridge University Press, Cambridge, United Kingdom
  2. L. Böttcher, chapter on Contagion Dynamics in Complex Networks, Automata and Complexity, Essays presented to Eric Goles on the occasion of his 70th birthday, Emergence, Complexity, and Computation (2022)
  3. D. Wernli, N. Antulov-Fantulin, J. Berezowski, N. Biller, K. Blanchet, L. Böttcher, C. Burton-Jeangros, M. Clausin, G. Escher, A. Flahault, K. Fukuda, D. Helbing, P. D. Jaffé, P. S. Jørgensen, Y. Kaspiarovich, J. Krishnakumar, J. Berezowski, R. J. Lawrence, K. Lee, A. Léger, N. Levrat, R. Martischang, C. M. Morel, D. Pittet, M. Stauffer, F. Tediosi, F. Vanackere, J.-D. Vassalli, G. Wolff, O. Young, Governance in the age of complexity: building resilience to COVID-19 and future pandemics (2021)
  4. L. Böttcher, H. Gersbach, Tax drugs to fight bugs (edited by John A. Whitfield), Research Europe (2022)
Media coverage and highlights You can find more information about my research and teaching (incl. planned workshops/conferences and job postings) on Twitter and LinkedIn.

Teaching

Year Courses
2022 Numerical Analysis of Dynamical Systems Machine Learning
2021 Introduction to Data Analytics
2020 Epidemic Forecasting Data Assimilation in Complex Social Systems
2019 Introduction to Computational Physics Computational Statistical Physics Dynamical Processes in Complex Networks
2018 Mathematik III
2017 Numerische Methoden

Pictures

Contact

Lucas Böttcher
Frankfurt School of Finance and Management
Adickesallee 32-34
60322 Frankfurt am Main, Germany
l dot boettcher at fs dot de