{"id":1356,"date":"2026-03-19T08:27:33","date_gmt":"2026-03-19T12:27:33","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/"},"modified":"2026-03-19T08:27:33","modified_gmt":"2026-03-19T12:27:33","slug":"content-removed","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/peterbubenik\/content-removed\/","title":{"rendered":"Notice"},"content":{"rendered":"\n

This content has been removed until it can be made compliant with Electronic Information Technology and Communication Accessibility<\/a>.<\/p>\n\n\n\n

\n\n\n\n

Redirected Documents<\/h2>\n\n\n\n

87 document links across 14 pages were redirected on March 19, 2026. Hover over a filename to see its original URL.<\/p>\n\n\n\n

Source Page<\/th>Link Text<\/th>Document<\/th>Type<\/th><\/tr><\/thead>
Page: "MTG 4303\/5317, Elements of\/ Introduction to Topology 2"<\/a><\/td>Syllabus<\/td>syllabus4303.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 4302\/5316, Elements of\/ Introduction to Topology 1"<\/a><\/td>Syllabus<\/td>syllabus4302.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 4302\/5316, Elements of\/ Introduction to Topology 1"<\/a><\/td>Chapter 1<\/td>NotesChp1-MTG4302-5316.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 4302\/5316, Elements of\/ Introduction to Topology 1"<\/a><\/td>Chapter 2<\/td>NotesChp2-MTG4302-5316.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 4302\/5316, Elements of\/ Introduction to Topology 1"<\/a><\/td>Chapter 3<\/td>NotesChp3-MTG4302-5316.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 4302\/5316, Elements of\/ Introduction to Topology 1"<\/a><\/td>Chapter 4<\/td>NotesChp4-MTG4302-5316.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MAT 4930, Special Topics – Topological Data Analysis and Machine Learning"<\/a><\/td>Syllabus<\/td>syllabusMAT4930.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Worksheet 1<\/td>worksheet1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Worksheet 2<\/td>worksheet2.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Worksheet 3<\/td>worksheet3.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Lab 1<\/td>lab_1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Lab 2<\/td>lab_2.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Lab 3<\/td>lab_3.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Homological Algebra and Data<\/td>HAD.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Persistent Homology – Theory and Practice<\/td>2012-P-11-PHTheoryPractice.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Topological pattern recognition for point cloud data<\/td>actanumericathree.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Persistent Homology<\/td>2016-B-01-PersDM.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>High Dimensional Topological Data Analysis<\/td>chap27-fin.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Introduction to Persistent Homology<\/td>virk2022.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>Computational Topology for Data Analysis<\/td>CTDAbook.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Topological Data Analysis"<\/a><\/td>PLLay: Efficient Topological Layer based on Persistence Landscapes<\/td>b803a9254688e259cde2ec0361c8abe4-Paper.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 7397, Advanced Topics in Topology 2"<\/a><\/td>pdf<\/td>syllabusMTG7397.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Motivation and Basic Constructions<\/td>Talk-August-8-2022-CBMS-Lecture-1-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Foundational Results<\/td>Talk-August-8-2022-CBMS-Lecture-2-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Combinatorics and Geometry<\/td>Talk-August-9-2022-CBMS-Lecture-3-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>TDA and Statistics<\/td>Talk-August-9-2022-CBMS-Lecture-4-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Algebra of Persistence Modules<\/td>Talk-August-10-2022-CBMS-Lecture-5-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>TDA and Machine Learning<\/td>Talk-August-10-2022-CBMS-Lecture-6-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Multiparameter Persistent Homology via Generalized Morse Theory<\/td>Talk-August-11-2022-CBMS-Lecture-7-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Applications of TDA<\/td>Talk-August-11-2022-CBMS-Lecture-8-Notes_reduced.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Mathematics and Persistence<\/td>Talk-August-12-2022-CBMS-Lecture-9-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>TDA applied to Deep Learning and TDA Software<\/td>Talk-August-12-2022-CBMS-Lecture-10-Notes.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Topological Data Analysis<\/td>bamc2016oxford.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>An Introduction to\u00a0Topological Data Analysis<\/td>abacus_1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Part 1<\/td>abacus_2a.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Part 2<\/td>abacus_2b.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Part 3<\/td>abacus_2c.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Topology for Data Science 3<\/td>abacus_3.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Talks"<\/a><\/td>Stabilizing the unstable output of persistent homology computations<\/td>bonn201705.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 7396, Topological Data Analysis and Machine Learning (Advanced Topics in Topology 1)"<\/a><\/td>Course syllabus<\/td>syllabus7396.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 6347, Topology 2"<\/a><\/td>link to pdf<\/td>syllabus6347.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "My Research Group"<\/a><\/td>poster<\/td>JMM-AWM-poster-vertical-final.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "My Research Group"<\/a><\/td>Embedding, Approximating, and Visualizing Persistence Modules<\/td>Wagner_A.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "My Research Group"<\/a><\/td>Topological Reconstruction of Grayscale Images<\/td>Wagner_A.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "My Research Group"<\/a><\/td>Jose Bouza<\/td>jose_bouza_cv.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Conferences"<\/a><\/td>Topological Data Analysis on Materials Science<\/td>2015_tda_sendai.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Michael Catanzaro. Multiparameter persistent homology via generalized Morse theory, Fields Institute Communications, 89, 55\u201359 (2024).<\/td>MPHvGMT1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik, Jonathan Scott, and Donald Stanley. Exact weights, path metrics, and algebraic Wasserstein distances, Journal of Applied and Computational Topology, 7, 185\u2014219 (2023).<\/td>s41468-022-00103-8-1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Alexander Elchesen. Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces, Journal of Applied and Computational Topology, 6, 429\u2013474 (2022).<\/td>s41468-022-00091-9-1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Alexander Elchesen. Universality of persistence diagrams and the bottleneck and Wasserstein distances, Computational Geometry, 105-106, 101882 (2022) 18pp.<\/td>1-s2.0-S0925772122000256-main-2.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Leo Betthauser, Peter Bubenik, and Parker Edwards. Graded persistence diagrams and persistence landscapes, Discrete and Computational Geometry, 67, 203\u2013230 (2022).<\/td>s00454-021-00316-1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Matthew Wheeler, Jose Bouza, and Peter Bubenik. Activation Landscapes as a Topological Summary of Neural Network Performance, 2021 IEEE International Conference on Big Data (Big Data), (2021), pp. 3865\u20133870.<\/td>Activation_Landscapes_as_a_Topological_Summary_of_Neural_Network_Performance.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Parker Edwards, Kristen Skruber, Nikola Milicevic, James B. Heidings, Tracy-Ann Read, Peter Bubenik, and Eric A. Vitriol. TDAExplore: quantitative analysis of fluorescence microscopy images through topology-based machine learning, Patterns, 2 (2021), no.11, 100367. 11pp + 17pp Suppl.<\/td>1-s2.0-S2666389921002294-main.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Ashleigh Thomas, Kathleen Bates, Alex Elchesen, Iryna Hartsock, Hang Lu, and Peter Bubenik. Topological data analysis of C. elegans locomotion and behavior, Frontiers in Artificial Intelligence, 4:668395 (2021) 16pp.<\/td>frai-04-668395.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Discussion of \u2018Event History and Topological Data Analysis\u2019, Biometrika, 188 (2021), no.4, 785\u2013788.<\/td>asab022.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Nikola Milicevic. Homological Algebra for Persistence Modules, Foundations of Computational Mathematics, 21, 1233\u20131278 (2021).<\/td>s10208-020-09482-9.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Alexander Wagner. Embeddings of Persistence Diagrams into Hilbert Spaces, Journal of Applied and Computational Topology, 4, 339\u2013351 (2020).<\/td>s41468-020-00056-w.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. The persistence landscape and some of its properties, In: Baas N., Carlsson G., Quick G., Szymik M., Thaule M. (eds) Topological Data Analysis. Abel Symposia, vol 15. Springer, 2020. pp 97\u2013117.<\/td>bok_978-3-030-43408-3_bubenik.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik, Michael Hull, Dhruv Patel, and Benjamin Whittle. Persistent homology detects curvature, Inverse Problems, 36 (2020) 025008 (23pp).<\/td>Bubenik_2020_Inverse_Problems_36_025008.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Paul Bendich, Peter Bubenik, and Alexander Wagner. Stabilizing the unstable output of persistent homology computations, Journal of Applied and Computational Topology, 4, 309\u2013338 (2020).<\/td>s41468-019-00044-9.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Vic Patrangenaru, Peter Bubenik, Robert L. Paige, and Daniel Osborne. Challenges in Topological Object Data Analysis, Sankhya A, 81 (2019), 244\u2013271.<\/td>s13171-018-0137-7.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Tane Vergili. Topological spaces of persistence modules and their properties, Journal of Applied and Computational Topology, 2 (2018), 233\u2013269.<\/td>s41468-018-0022-4.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik, Vin de Silva, and Vidit Nanda. Higher interpolation and extension of persistence modules, SIAM Journal on Applied Algebra and Geometry 1 (2017), 272\u2013284.<\/td>16m1100472.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Pawel Dlotko. A persistence landscapes toolbox for topological statistics, Journal of Symbolic Computation 78 (2017), 91\u2013114.<\/td>1-s2.0-S0747717116300104-main.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Violeta Kovacev-Nikolic, Peter Bubenik, Dragan Nikolic, and Giseon Heo. Using persistent homology and dynamical distances to analyze protein binding, Statistical Applications in Genetics<\/td>10.1515_sagmb-2015-0057.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik, Vin de Silva and Jonathan Scott. Metrics for generalized persistence modules, Foundations of Computational Mathematics 15 (2015), no. 6, 1501\u20131531.<\/td>s10208-014-9229-5.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Statistical topological data analysis using persistence landscapes, Journal of Machine Learning Research 16 (2015), 77\u2013102.<\/td>bubenik15a.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Jonathan A. Scott. Categorification of persistent homology, Discrete and Computational Geometry 51 (2014), no. 3, 600\u2013627.<\/td>s00454-014-9573-x.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Yuliy Baryshnikov, Peter Bubenik, and Matthew Kahle. Min-Type Morse Theory for Configuration Spaces of Hard Spheres, International Mathematical Research Notices 2014 (2014), no. 9, 2577\u20132592.<\/td>rnt012.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. A comment to \u201cA microbiology primer for pyrosequencing\u201d, Quantitative Bio-Science 31 (2012), no. 2, 85\u201386.<\/td>03-A-commentBu.QBS_.115359.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Simplicial models for concurrency, Electronic Notes in Theoretical Computer Science 283 (2012), 3\u201312.<\/td>1-s2.0-S1571066112000035-main.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Leah H. Gold. Graph products of spheres, associative graded algebras and Hilbert series, Mathematische Zeitschrift 268 (2011), no. 3\u20134, 821\u2013836.<\/td>s00209-010-0697-2.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik, Gunnar Carlsson, Peter T. Kim, and Zhiming Luo. Statistical topology via Morse theory, persistence, and nonparametric estimation, Algebraic Methods in Statistics and Probability II, Contemporary Mathematics 516 (2010), 75\u201392.<\/td>10.-Statistical-Topology-via-Morse-Theory-Persistence-and-Nonparametric-Estimation.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Moo K. Chung, Peter Bubenik, and Peter T. Kim. Persistence diagrams of cortical surface data, in Information Processing in Medical Imaging 2009, Lecture Notes in Computer Science 5636 (2009), 386\u2013397.<\/td>978-3-642-02498-6_32.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Models and van Kampen theorems for directed homotopy theory, Homology, Homotopy and Applications 11 (2009), no. 1, 185\u2013202.<\/td>1251832565.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Context for models of concurrency, Electronic Notes in Theoretical Computer Science 230 (2009), 3\u201321.<\/td>1-s2.0-S157106610900019X-main.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>George A. Bubenik and Peter Bubenik. Palmated antlers of moose may serve as a parabolic reflector of sounds, European Journal of Wildlife Research 54 (2008), 533\u2013535.<\/td>s10344-007-0165-4.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Separated Lie models and the homotopy Lie algebra, Journal of Pure and Applied Algebra 212 (2008), no.2, 350\u2013369.<\/td>1-s2.0-S0022404907001466-main.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Peter T. Kim. A statistical approach to persistent homology, Homology, Homotopy and Applications 9 (2007), no. 2, 337\u2013362.<\/td>1201127341.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and John A.R.Holbrook. Densities for random balanced sampling, Journal of Multivariate Analysis 98 (2007), no. 2, 350\u2013369.<\/td>1-s2.0-S0047259X06000157-main.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik and Krzysztof Worytkiewicz. A model category for local po-spaces, Homology, Homotopy and Applications 8 (2006), no.1, 263\u2013292.<\/td>HHA-2006-0008-0001-a010.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Free and semi-inert cell attachments, Transactions of the American Mathematical Society 357 (2005), no. 11, 4533\u20134553.<\/td>S0002-9947-05-03989-9.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "Publications"<\/a><\/td>Peter Bubenik. Cell attachments and the homology of loop spaces and differential graded algebras, Ph.D. thesis, University of Toronto (2003), v+108pp.<\/td>0601421v1.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 6346, Topology 1"<\/a><\/td>link to pdf<\/td>syllabus6346.pdf<\/span><\/td>PDF<\/td><\/tr>
Page: "MTG 6346, Topology 1"<\/a><\/td>link to pdf<\/td>schedule6346.pdf<\/span><\/td>PDF<\/td><\/tr>
Menu item: "Curriculum Vitae"<\/td>Curriculum Vitae<\/td>pbubenikCV.pdf<\/span><\/td>PDF<\/td><\/tr>
Page Links To: "Curriculum Vitae"<\/a><\/td>Curriculum Vitae<\/td>pbubenikCV.pdf<\/span><\/td>PDF<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

This content has been removed until it can be made compliant with Electronic Information Technology and Communication Accessibility. Redirected Documents 87 document links across 14 pages were redirected on March 19, 2026. Hover over a filename to see its original URL. Source Page Link Text Document Type Page: "MTG 4303\/5317, Elements of\/ Introduction to Topology […]<\/p>\n","protected":false},"author":1249,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1356","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/1356","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/users\/1249"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/comments?post=1356"}],"version-history":[{"count":1,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/1356\/revisions"}],"predecessor-version":[{"id":1370,"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/pages\/1356\/revisions\/1370"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/peterbubenik\/wp-json\/wp\/v2\/media?parent=1356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}