Alexander Y Wagner
Phillip Griffiths Assistant Research Professor
Current Appointments & Affiliations
- Phillip Griffiths Assistant Research Professor, Mathematics, Trinity College of Arts & Sciences 2022 - 2023
- Assistant Research Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2020
Contact Information
- 120 Science Drive, Durham, NC 27708
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alexander.wagner@duke.edu
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Webpage
- Background
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Education, Training, & Certifications
- Ph.D., University of Florida 2020
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Previous Appointments & Affiliations
- Phillip Griffiths Assistant Research Professor, Mathematics, Trinity College of Arts & Sciences 2020 - 2022
- Expertise
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Subject Headings
- Research
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Fellowships, Supported Research, & Other Grants
- Summer Graduate Research Fellowship awarded by University of Florida Center for Applied Mathematics 2019
- Graduate Student Fellowship awarded by University of Florida Informatics Institute 2018 - 2019
- Special Hausdorff Program awarded by Hausdorff Institute for Mathematics 2017
- Publications & Artistic Works
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Selected Publications
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Academic Articles
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Wagner, Alexander, Elchanan Solomon, and Paul Bendich. “Improving Metric Dimensionality Reduction with Distributed Topology,” June 14, 2021.Link to Item
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Wagner, Alexander. “Nonembeddability of persistence diagrams with $p>2$ Wasserstein metric.” Proceedings of the American Mathematical Society 149, no. 6 (March 29, 2021): 2673–77. https://doi.org/10.1090/proc/15451.Full Text
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Solomon, Elchanan, Alexander Wagner, and Paul Bendich. “From Geometry to Topology: Inverse Theorems for Distributed Persistence,” January 28, 2021.Link to Item
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Solomon, Elchanan, Alexander Wagner, and Paul Bendich. “A Fast and Robust Method for Global Topological Functional Optimization.” 24th International Conference on Artificial Intelligence and Statistics (Aistats) 130 (2021): 109-+.Link to Item
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Bubenik, P., and A. Wagner. “Embeddings of persistence diagrams into Hilbert spaces.” Journal of Applied and Computational Topology 4, no. 3 (September 1, 2020): 339–51. https://doi.org/10.1007/s41468-020-00056-w.Full Text
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Bendich, Paul, Peter Bubenik, and Alexander Wagner. “Stabilizing the unstable output of persistent homology computations.” Journal of Applied and Computational Topology, November 9, 2019, 1–30.Link to Item
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Conference Papers
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Solomon, E., A. Wagner, and P. Bendich. “From Geometry to Topology: Inverse Theorems for Distributed Persistence.” In Leibniz International Proceedings in Informatics, Lipics, Vol. 224, 2022. https://doi.org/10.4230/LIPIcs.SoCG.2022.61.Full Text
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Wagner, Alexander, and Stan Uryasev. “Portfolio Optimization with Expectile and Omega Functions,” n.d.
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- Teaching & Mentoring
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Recent Courses
- MATH 494: Research Independent Study 2023
- COMPSCI 445: Introduction to High Dimensional Data Analysis 2022
- MATH 218D-1: Matrices and Vector Spaces 2022
- MATH 221: Linear Algebra and Applications 2022
- MATH 393: Research Independent Study 2022
- MATH 465: Introduction to High Dimensional Data Analysis 2022
- MATH 493: Research Independent Study 2022
- MATH 721: Linear Algebra and Applications 2022
- MATH 765: Introduction to High Dimensional Data Analysis 2022
- STA 465: Introduction to High Dimensional Data Analysis 2022
- COMPSCI 434: Topological Data Analysis 2021
- MATH 411: Topology 2021
- MATH 412: Topological Data Analysis 2021
- MATH 711: Topology 2021
- MATH 713: Topological Data Analysis 2021
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Advising & Mentoring
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Mentoring undergraduate student Jesse Zhang at Duke University, 2022-
Mentored undergraduate students David Freeman, Gianfranco Cortes-Arroyo, and Jose Bouza at the University of Florida, 2018-2019.
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Mentoring undergraduate student Jesse Zhang at Duke University, 2022-
- Scholarly, Clinical, & Service Activities
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Presentations & Appearances
- Distributed Persistent Homology: Inverse Theorems and Dimensionality Reduction. ATMCS 10. University of Oxford. June 2022 2022
- Distributed Persistent Homology: Inverse Theorems and Dimensionality Reduction. ANT-CoG Seminar. UNC Greensboro. February 2022 2022
- A Topological Heatmap for the Shape of Biological Images. AMS Fall Southeastern Virtual Sectional Meeting. November 2021 2021
- Learning with Approximate or Distributed Topology. Topological Data Analysis Workshop. April 2021 2021
- From Geometry to Topology: Inverse Theorems for Distributed Persistence. ACMS Applied Math Seminar. March 2021 2021
- Nonembeddability of Persistence Diagrams into Hilbert Spaces. ATMCS / AATRN 2020. Applied Algebraic Topology Research Network. August 2020 2020
- Portfolio Optimization with Expectile and Omega Functions. Winter Simulation Conference. December 2019 2019
- Embeddings of Persistence Diagrams into Hilbert Spaces. AMS Sectional Meeting. November 2019 2019
- The Generic Nature of Morse Functions. AMS Spring Southeastern Sectional Meeting. March 2019 2019
- A Persistent Homology Measure for Morse Functions. Joint Mathematics Meetings. January 2019 2019
- Stabilizing the location of persistent homology. Algebraic Topology: Methods, Computation and Science. Institute of Science and Technology Austria. June 2018 2018
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Outreach & Engaged Scholarship
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Service to the Profession
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