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, J. J. F. Breedvelt, F. C. Warren, Z. Segal, W. Kuyken, C. L. H. Bockting, Identifying Relapse Predictors in Individual Participant Data with Decision Trees
  2. L. Böttcher, G. Wheeler, Visualizing high-dimensional loss landscapes with Hessian directions, arXiv:2208.13219, GitLab repo
  3. L. Böttcher, T. Chou, M. R. D'Orsogna, Modeling and forecasting age-specific overdose mortality in the United States, preprint
  4. L. Böttcher, T. Asikis, Near-optimal control of dynamical systems with neural ordinary differential equations, Mach. Learn.: Sci. Technol. 3, 045004 (2022), arXiv:2206.11120, Gitlab repo
  5. D. Wernli, L. Böttcher, F. Vanackere, Y. Kaspiarovich, M. Massood, N. Levrat, Understanding and governing systemic crises in the 21st century: a review from a complexity perspective, preprint
  6. 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
  7. M. R. D'Orsogna, L. Böttcher, T. Chou, Acceleration of regional, racial and gender disparities in drug overdoses across the United States driven by COVID-19 and fentanyl use, medRxiv:2022.06.22.22276766
  8. M. Xia, L. Böttcher, T. Chou, Spectrally adapted physics-informed neural networks for solving unbounded domain problems, arXiv:2202.02710, Gitlab repo
  9. L. Böttcher, T. Asikis, I. Fragkos, Solving Inventory Management Problems with Inventory-dynamics-informed Neural Networks, arXiv:2201.06126, Gitlab repo
  10. 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
  11. L. Böttcher, H. Gersbach, D. Wernli, Restoring the Antibiotic R&D Market to combat the Resistance Crisis, Sci. Public Policy, scab067 (2021)
  12. M. Xia, L. Böttcher, T. Chou, Controlling epidemics through optimal allocation of test kits and vaccine doses across networks, IEEE Trans. Netw. Sci. Eng. 9, 1422--1436 (2022), arXiv:2107.13709, GitLab repo
  13. 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. 18, e1010171 (2022), arXiv:2109.10970, GitHub repo
  14. 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
  15. 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
  16. L. Böttcher, J. Nagler, Decisive Conditions for Strategic Vaccination against SARS-CoV-2, Chaos 31, 101105 (2021), medRxiv:2021.03.05.21252962, GitHub repo
  17. L. Böttcher, G. Kernell, Examining the Limits of the Condorcet Jury Theorem: Tradeoffs in Hierarchical Information Aggregation Systems, Collect. Intell. (2022), arXiv:2110.02298
  18. 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)
  19. 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
  20. 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
  21. 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
  22. 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
  23. P. Richter, M. Henkel, L. Böttcher, Aging and equilibration in bistable contagion dynamics, Phys. Rev. E 102, 042308 (2020), arXiv:2006.05937
  24. 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, Front. Phys. 10, 923099 (2022), arXiv:2006.02646
  25. 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
  26. L. Böttcher, N. Antulov-Fantulin, Unifying continuous, discrete, and susceptible-infected-recovered processes on networks, Phys. Rev. Res. 2, 033121 (2020), arXiv:2002.11765
  27. L. Böttcher, H. Gersbach, A Refunding Scheme to Incentivize Narrow-Spectrum Antibiotic Development, Bull. Math. Biol. 84, 59 (2022), arXiv:2007.06468, medRxiv:2020.07.13.20152652, CEPR:DP15512
  28. F. D'Angelo, L. Böttcher, Learning the Ising Model with Generative Neural Networks, Phys. Rev. Res. 2, 023266 (2020), arXiv:2001.05361, GitHub repo
  29. L. Böttcher, A Random-Line-Graph Approach to Overlapping Line Segments, J. Complex Netw. 8, cnaa029 (2020), arXiv:1911.10679
  30. S. Nauer, L. Böttcher, M. A. Porter, Random-Graph Models and Characterization of Granular Networks, J. Complex Netw. 8, cnz037 (2019), arXiv:1907.13424
  31. S. Xu, L. Böttcher, T. Chou, Diversity in biology: definitions, quantification, and models, Phys. Biol. 17, 031001 (2020), arXiv:1908.08190
  32. L. Böttcher, H. Gersbach, The Great Divide: Quantifying Drivers of Polarization in the US Public, EPJ Data Sci. 9, 32 (2020), arXiv:2001.05163, GitLab repo
  33. L. Böttcher, P. Montealegre, E. Goles, H. Gersbach, Competing Activists--Political Polarization, Physica A 545, 123713 (2019), arXiv:1910.14531
  34. S. Strub, L. Böttcher, Modeling Deformed Transmission Lines for Continuous Strain Sensing Applications, Meas. Sci. Technol. 31, 035109 (2019), arXiv:1912.13319
  35. M. Hoferer, L. Böttcher, H.J. Herrmann, H. Gersbach, The Impact of Technologies in Political Campaigns, Physica A 538, 122795 (2019), arXiv:1909.07644
  36. L. Böttcher, H.J. Herrmann, H. Gersbach, Clout, Activists and Budget: The Road to Presidency, PLOS One 13(3):e0193199. (2018), arXiv:1802.02048
  37. L. Böttcher, H.J. Herrmann, M. Henkel, Dynamical universality of the contact process, J. Phys. A 51, 125003 (2018), arXiv:1802.00037
  38. 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
  39. L. Böttcher, J. Nagler, H.J. Herrmann, Critical Behaviors in Contagion Dynamics, Phys. Rev. Lett. 118, 088301 (2017), arXiv:1701.08988, GitHub repo
  40. L. Böttcher, O. Woolley-Meza, D. Brockmann, Temporal dynamics of online petitions, PLOS One 12(5):e0178062. (2017), arXiv:1705.04202
  41. 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
  42. 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
  43. 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
  44. 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
  45. 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
2023 Numerical Analysis of Dynamical Systems Machine Learning Computational Statistics Introduction to Data Analytics
2022 Numerical Analysis of Dynamical Systems Machine Learning Introduction to Data Analytics
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