Email: owada[at]purdue[dot]edu

EDUCATION

• • CORNELL UNIVERSITY, NY, USA,

Ph.D. in Operations Research with concentration in Applied Probability and Statistics, 2013.

Thesis advisor: Professor Gennady Samorodnitsky.

• • THE UNIVERSITY OF TOKYO, Tokyo, JAPAN,

M. A. Economics, 2004, B. A. Economics, 2002.

ACADEMIC APPOINTMENT

• • PURDUE UNIVERSITY , West Lafayette, IN, USA,

Associate Professor, Department of Statistics, 2022 - present 

Assistant Professor, Department of Statistics, 2016 - 2022

• • TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY, Haifa, ISRAEL,

European Commission Senior Researcher, 2013 - 2016, under Professor Robert J. Adler.

INDUSTRIAL EXPERIENCE

• • BANK OF JAPAN, Tokyo, JAPAN,

Economist, 2004 - 2006.

RESEARCH INTERESTS

• • Random topology, Topological data analysis, Persistent homology, Random graph theory, Hyperbolic geometry.

  • Heavy tail probability, Stable processes, Infinitely divisible processes, Extreme value theory, Long range dependence, Infinite ergodic theory.

GRANT and AWARD

• • Air Force Office of Scientific Research (AFOSR), ``Topological modeling and analysis of complex stochastic networks  (FA9550-22-1-0238)," Principal Investigator, 2022/8 - 2025/7.

  • National Science Foundation (NSF), Division of Mathematical Sciences - Probability and Topology, `` Random Algebraic Topology (#1811428)," Principal Investigator, 2018/8 - 2022/7. 

  • Regina and Norman F. Carroll (Col. USAF) Research Award, 2021.

  • Outstanding Assistant Professor Teaching Award, 2021.  

  • Korean Mathematical Society Best Paper Award, 2018. 

  • Institute of Mathematical Statistics (IMS) Travel Award, 2014. 

PUBLICATIONS

• Limit theorems for critical faces above the vanishing threshold, 

Zifu Wei, Takashi Owada, and Yogeshwaran D., To appear in Homology, Homotopy, and Applications. 

• Limit theorems for high-dimensional Betti numbers in the multiparameter random simplicial complexes, 

Takashi Owada and Gennady Samorodnitsky, Submitted. 

• Large deviations for the volume of hyperbolic k-nearest neighbor balls, 

 Christian Hirsch, Moritz Otto, Takashi Owada, and Christoph Thale, To appear in Annales de l’Institut Henri Poincaré. 

• Large deviations for the volume of k-nearest neighbor balls, 

 Christian Hirsch, Taegyu Kang, and Takashi Owada, Electronic Journal of Probability, Volume 28 (2023), 1-27.

• Large deviations for subcomplex counts and Betti numbers in multi-parameter simplicial complexes, 

Gennady Samorodnitsky and Takashi Owada, Random Structures & Algorithms, Volume 63 (2023), 533-556. 

• Large deviation principle for geometric and topological functionals and associated point processes,

Christian Hirsch and Takashi Owada, The Annals of Applied Probability, Volume 33 (2023), 4008-4043. 

• Functional strong law of large numbers for Betti numbers in the tail, 

Takashi Owada and Zifu Wei, Extremes, Volume 25 (2022), 653-693. 

• Limit theory for U-statistics under geometric and topological constraints with rare events, 

Takashi Owada, Journal of Applied Probability, Volume 60 (2023), 314-340.  

• Functional strong law of large numbers for Euler characteristic processes of extreme sample clouds, 

Andrew M. Thomas and Takashi Owada, Extremes, Volume 24 (2021), 699-724. 

• Convergence of persistence diagram in the sparse regime,

Takashi Owada, The Annals of Applied Probability, Volume 32 (2022), 4706-4736.

• Limit Theorems for topological invariants of the dynamic multi-parameter simplicial complex,

Takashi Owada, Gennady Samorodnitsky, and Gugan Thoppe,  Stochastic Processes and their Applications, Volume 138 (2021), 56-95.

• Functional limit theorems for the Euler characteristic process in the critical regime,

Andrew M. Thomas and Takashi Owada, Advances in Applied Probability, Volume 53 (2021), 57-80. 

• A functional non-central limit theorem for multiple-stable processes with long-range dependence,

Shuyang Bai, Takashi Owada, and Yizao Wang, Stochastic Processes and their Applications, Volume 130 (2020), 5768-5801.

• Convergence of persistence diagram for topological crackle,

Takashi Owada and Omer Bobrowski, Bernoulli, Volume 26 (2020), 2275-2310. 

• Limit theorems for process-level Betti numbers for sparse and critical regimes,

Takashi Owada and Andrew M. Thomas, Advances in Applied Probability, Volume 52 (2020), 1-31.

• Sub-tree counts on hyperbolic random geometric graphs,

Takashi Owada and D. Yogeshwaran, Advances in Applied Probability, Volume 54 (2022), 1032-1069.

• Topological crackle of heavy-tailed moving average processes,

Takashi Owada, Stochastic Processes and Their Applications, Volume 129 (2019), 4965-4997. 

• Limit theorems for Betti numbers of extreme sample clouds with application to persistence barcodes,

Takashi Owada, The Annals of Applied Probability, Volume 28 (2018), 2814-2854.

• Functional central limit theorem for subgraph counting processes,

      Takashi Owada, Electronic Journal of Probability, 22,  (2017).

• Functional central limit theorem for negatively dependent heavy-tailed stationary infinitely divisible processes generated by conservative flows,

Paul Jung, Takashi Owada, and Gennady Samorodnitsky, The Annals of Probability, Volume 45 (2017), 2087-2130.

• Limit theorems for point processes under geometric constraints (and topological crackle),

Takashi Owada and Robert J. Adler, The Annals of Probability, Volume 45 (2017), 2004-2055.

• Maxima of long memory stationary symmetric alpha-stable processes, and self-similar processes with stationary max-increments,

Takashi Owada and Gennady Samorodnitsky, Bernoulli , Volume 21 (2015), 1575-1599.

• Limit theory for the sample autocovariance for heavy tailed stationary infinitely divisible processes generated by conservative flows,

Takashi Owada, Journal of Theoretical Probability , Volume 29 (2016), 63-95. 

• Functional central limit theorem for heavy tailed stationary infinitely divisible processes generated by conservative flows,

Takashi Owada and Gennady Samorodnitsky, The Annals of Probability , Volume 43 (2015), 240-285. 

RESEARCH REPORT

• • Tail measures of stochastic processes or random fields with regularly varying tails 

Gennady Samorodnitsky and Takashi Owada

THESIS

• • Ergodic theoretical approach to investigate memory properties of heavy tailed processes ,

Takashi Owada

TEACHING EXPERIENCE

• • Elements of Stochastic Processes (Master - Ph.D level), Purdue University, Fall 2018, Fall 2019, Fall 2021, Fall 2023

  • Probability Theory I (Ph.D level), Purdue University, Spring 2018

  • Introduction to Probability (Master - Ph.D level), Purdue University, Fall 2017, Spring 2019, Fall 2020

  • Basic Probability and Applications (Master level), Purdue University, Fall 2016, Spring 2017

  • Probability (Undergraduate level), Purdue University, Spring 2020, Spring 2021, Spring 2022, Fall 2022, Spring 2024. 

  • Long Range Dependence and Heavy Tails (Ph.D level), Technion, Fall 2015