Date. Speaker. Title.

**Jan 15, 2018.** *Osman Okutan *; Approximating metric spaces with Reeb type graphs

**Jan 22, 2018.**(1)

*Ying Yin*; Persistent homology on teeth classification, (2)

*Woojin Kim*; Algebraic stability of zigzag persistence modules. Note

**Jan 29, 2018.** (1) * Sunhyuk Lim *; Equiarea partition of general Riemannian manifolds, (2) * Woojin Kim *; Algebraic stability of zigzag persistence modules.
Note

**Feb 5, 2018.** (1)* Ying Yin *; Persistent homology on teeth classification, (2) *Osman Okutan *; Tight spans of metric spaces,

**Feb 12, 2018.** (1) *Osman Okutan *; Tight spans of metric spaces.

**Feb 19, 2018.** (1) * Ying Yin *; Persistent homology on teeth classification, (2) * Tom Needham *; Injectivity Properties of Distance Distributions,

**Feb 26, 2018.** (1) * Woojin Kim *; Algebraic Stability of Zigzag persistence modules Note ; (2) * Osman Okutan *; Tight span of metric spaces.

**Mar 5, 2018.** (1) * Woojin Kim *; Stable Siganature for Dynamic Metric Spaces via Zigzag Persistence Homology; (2) * Osman Okutan *; Reeb Posets and Tree Approximations; (3) * Ying Yin *; Persistent homology on teeth classification.

** Mar 19, 2018.** * Samir Chowdhury *; A generalization of Gromov's reconstruction theorem.

** Mar 26, 2018. ** (1) * Xiao Zha*; Topological data analysis on road network data, (2) * Ying Yin *; Persistent homology on teeth classification, (3) * Woojin Kim *; Algebraic Stability of Zigzag persistence modules.

** April 2, 2018. ** (1) *Woojin Kim *; Algebraic Stability of Zigzag persistence modules, (2) * Sunhyuk Lim *; Overview of general Markov processes.

** April 9, 2018. ** (1) * Ying Yin *; Persistent homology on teeth classification, (2) * Sunhyuk Lim *; Overview of general Markov processes, (3) * Zhengchao Wan *; Categorification of Gromov-Hausdorff Distance and Interleaving of Functors;

** April 16, 2018. ** * Samir Chowdhury *; Geodesics in the space of persistence diagrams Frechet means for distributions of persistence diagrams (In "Frechet Means for Distributions of Persistence Diagrams", one of the main results is that the space of persistence diagrams equipped with a certain L2 norm has nonnegative curvature in the sense of Alexandrov. An implicit claim in the proof of this theorem is that all geodesics in this space arise as a straight line interpolation. We supply a detailed proof of this claim, using results about the convexity of Lp norms.
)

** April 23, 2018. ** (1) * Ying Yin *; Persistent homology on teeth classification, (2) * Sunhyuk Lim *; Overview of general Markov processes.

** April 30, 2018. ** * Sunhyuk Lim *; Overview of general Markov processes.

** May 7, 2018. ** (1) * Ying Yin *; Persistent homology on teeth classification, (2) * Sunhyuk Lim *; Overview of general Markov processes, (3) * Kritica Singhal *; Sketching and Clustering Metric Measure Spaces

** May 28, 2018. ** (1) * Alex Elchesen *; Reflection distance between Zigzag modules and stability, (2) * Sunhyuk Lim *; Overview of general Markov processes.

** June 4, 2018. ** at 1 PM (1) * Kritica Singhal *; Fractal Dimension and Lower Bounds for Geometric Problems, (2) * Ying Yin *; Persistent homology on teeth classification, (3) * Sunhyuk Lim *; Overview of general Markov processes, (4) * Zhengchao Wan *; Interleaving and Gromov-Hausdorff distance.

** June 11, 2018. ** at 1:30 PM (1) * Zhengchao Wan *; Interleaving and Gromov-Hausdorff distance.

** June 18, 2018. ** at 1:30 PM (1) * Samir Chowdhury *; Persistent homology methods for asymmetric networks (30 mins), (2) * Tom Needham *; Gromov-Hausdorff distance between metric graphs.

** June 25, 2018. ** at 1:30 PM * Tom Needham *; Local Uniqueness of the Circular Integral Invariant.

** July 2, 2018. ** at 1:30 PM * Sunhyuk Lim *; Heat kernel on fractal sets.

** July 9, 2018. ** at 1:30 PM in MW 154 (1) * Simon Zhang *; GPU spectral sequence algorithm with software GPUPH

** July 16, 2018. ** at 1 PM (1) * Woojin Kim * ; Formigrams- Clustering summary of dynamic data (20 mins), (2) * Simon Zhang *; GPU spectral sequence algorithm with software GPUPH
Three References: (1) Spectral Sequences, Exact Couples and Persistent Homology of filtrations , (2) You could have invented spectral sequences , (3) Spectral sequences via examples

** July 23, 2018. ** (1) * Woojin Kim * ; Formigrams- Clustering summary of dynamic data (20 mins), (2) * Simon Zhang *; GPU spectral sequence algorithm with software GPUPH

** July 30, 2018. ** (1) * Woojin Kim * ; Formigrams- Clustering summary of dynamic data (20 mins), (2) * Osman Okutan * ; Spectral Sequences induced from the Vietories Rips filtrations.

** August 6, 2018. ** at 4 PM in CH 240 * Bowen Dai * ; The Importance of Forgetting: Limiting Memory Improves Recovery of
Topological Characteristics from Neural Data

** August 20 or 24, 2018. ** at ? PM in ? * Sunhyuk Lim * ; On Alexandrov curvature.