Metric-Team-2020

Metric Geometry Team

Independent Research with Professor Sormani in Winter-Spring 2020

References:

[BBI] Burago-Burago-Ivanov's A Course in Metric Geometry

[S-CoM] Spivak Calculus on Manifolds

[M-GMT] Morgan Geometric Measure Theory

[AK] Ambrosio-Kirchheim Currents on Metric Spaces

[SW] Sormani-Wenger Intrinsic Flat Convergence

Continuing from the January 2019 Course/Research Project on GH Convergence of Smocked Metric Spaces we now study some Geometric Measure Theory and the GH and SWIF Convergence of Smocked Metric Spaces completing additional papers with smaller team of students.

Winter Semester:

Tue Jan 7 11-3 in C415A in the GC basement

11 am: Lecture

Open Problems on Smocked Metric Spaces and GH convergence

by Dr. Demetre Kazaras

12-3 pm: meetings with teams to organize their research projects and meeting times.

New teams will be formed. Dr. Brian Allen will be here today as well.

Wed Jan 8 11-3 in Science Center 4102 on the GC 4th floor

11-1 pm: Teams will work

1-2 pm: Meetings in teams with Prof Sormani

2 pm: Lecture

An Introduction to Warped Product Spaces and Intrinsic Flat Convergence

by Dr. Brian Allen

Th-Fr Jan 9-10

Teams may meet without Prof Sormani in the math lounge or elsewhere

Mon Jan 13 11-3 in Science Center 4102 on the GC 4th floor

11-1 pm Teams will work

1-2 pm Meetings in teams with Prof Sormani

2 pm: No Lecture

Tu-Mon Jan 14-20

Teams may meet without Prof Sormani in the math lounge or elsewhere

Note Dr. Jorge Basilio will be available Jan 18-Jan 22.

Mon Jan 20 Martin Luther King Day no meetings

Tue Jan 21 11-3 in C415A in GC basement

11-2pm Meetings in teams with Prof Sormani

2 pm Lecture

Sewing Riemannian Manifolds

by Dr. Jorge Basilio

Wed Jan 22 11-3 in C415A in GC basement

11-2pm Meetings in teams with Prof Sormani

2 pm: Lecture

Riemannian Metrics Curvature and Geodesics

by Prof Sormani

Th-Fr Jan 23-24

Teams may meet without Prof Sormani

Spring Semester

SB Team meets at Stony Brook on Fridays 1-2 pm

Lehman Team meets at Lehman on Wednesdays 8-9 pm

POSTPONED DUE TO PANDEMIC

Research Teams:

Victoria Antonetti (Lehman, Princeton)

Maziar Farahzad (Stony Brook)

Ajmain Yamin (Stony Brook)

Hindy Drillick (Stony Brook, Columbia)

Julinda Pillati Mujo (Lehman)

Other Participants:

Moshe Dinowitz (Stony Brook, CUNYGC)

Demetre Kazaras (Stony Brook, SCGP)

Brian Allen (Hartford)

Jorge Basilio (Pasadena City College)

Hollis Williams (Warwick) not present but working on Problem 10.8

Address by Prof. Sormani at the MAA Metropolitan New York Annual Meeting 2019.

Talk by the students at the Lehigh Geometry and Topology Conference in 2019

Talk by the students at the NYC Math Alliance in 2019

The research by some of the participants in this workshop is supported by the National Science Foundation through Prof Sormani’s research grant NSF DMS1612049. Funding for undergraduate and masters students comes from Professor Sormani’s private funding sources.

add links to resulting research and images from googledoc