Jeffrey Lin
Graduate Student at UCLA Mathematics Department
UCLA
Mathematics Department
Los Angeles, CA, USA 90095-1555
Office:
3919 Math Sciences Building
Office Hours:
Not TAing (Spring 2016)
E-Mail:
jtl005_at_math_dot_ucla_dot_edu
Teaching
Fall 2011: Math 32A (Multivariable Calculus)
Winter 2012: Math 3A (Single Variable Calculus)
Spring 2012: Math 32B (Vector Analysis)
Fall 2012: Math 3C (Probability for Life Science Students)
Winter 2013: Math 131A (Real Analysis for Undergraduates)
Fall 2013: Math 275A (Measure Theoretic Probability for Graduate students)
Winter 2014: Math 170B (Undergraduate Probability Theory)
Spring 2014: Math 131A
Fall 2014: Math 115A (Linear Algebra)
Winter 2015: Math 245B (Graduate Real Analysis)
Spring 2015: Math 131A
Fall 2015: Math 115 A
Research/Academic Interests
Stochastic Processes (Martingales, Feller Processes, Markov Chains)
Stochastic Calculus
Functional Analysis
Interacting Particle Systems, Ising model, Statistical Mechanics, Percolation
Exchangeable Random Variables and Their Mixing Measures
I am currently working under the guidance of Marek Biskup.
Research papers
A Correction Note: Attractive Nearest Neighbor Spin Systems on the Integers (Submitted to Arxiv on 9/19/14)
A Negative Answer to a Problem of Aldous on Determination of Exchangeable Sequences (Submitted to Electronic Journal of Probability and Arxiv on 7/2/15)
Unpublished undergraduate research
Specialization of Kuratowski’s Theorem to N-connected Graphs
The Movement of Endothelial Cells of the Vein
Class Notes for Math 115A (Fall 2014) (Only for days with lots of definitions or days with especially hard material)
Notes for Day 1 Week 0
Full Solution to Problem 11 Section 1.3 and Vector Space Analogy
Week 5 section notes
Week 8 section notes, to be covered in week 9
Part 2 of notes week 9
Week 10 notes
(Fall 2015)
Induction and Applications
Class notes for Math 245B
Bounded Variation Notes
Math 131A
Class notes for Math 131A Spring 2015 (Not guaranteed or even necessarily intended to capture all points from section)