Posts by Collection

Sunset at the Bryce Canyon National Park

Published: January 02, 2017

This was one stop on our mid-west trip during Christmas break 2016. This was the biggest group trip I organized to date. There were 9 of us. We drove from Zion National Park to view the sunset. We arrived at the park late in the afternoon. After a short visit to the visitor’s center. We stopped by a few overlooks, and then began hiking at Sunset Point. The sunshine was just right, for which I was super grateful. The Bryce Amphitheater was covered with snow, which stood in contrast with the bright orange colors of the sand stones. It was an amazing hike down into the Amphitheater, surrounded by the hoodoos of various shapes. The most notable one is probably Thor’s Hammer. The sky showed this beautiful pink red and pink blue right after sunset, which added to the surreal scenery. Close to dawn, we gradually lost sight and had to turn back.

Copper Mountain Day Hike

Published: January 07, 2018

I successfully defended on Jan 4th and passed! Yay! (Trust me. I am a Doctor.)

UCR Botanic Gardens Hike

Published: January 14, 2018

I visited W and we went to hike and take pictures at the UCR Botanic Gardens. It was a beautiful garden, well worth the visit. See below for some photos I took at the garden. See more photos at my instagram.

First Fiery Gizzard Trail Through Hike

Published: September 08, 2018

Fiery Gizzard Trail is the place that re-ignited my love for hiking. I didn’t hike much during graduate school and found this gem when looking for a group outing not long after graduation. We went there in a group of 6 and were “tortured” by the big boulders and sometimes misleading trail blazers. We turned back at the Raven’s Point and took the easy way back via the Dog Hole Trail. That was my first tough hike in years and I rejoiced throughout the hike, for both the feeling of sweat and the escape to nature. Because of how special this place is, I always wanted to go back and do a through-hike.

Land Between the Lakes

Published: November 10, 2018

A great late Fall hike. The sunshine was just perfect. Lots of newly fallen leaves on the ground. I loved the crushing sound when stepping on the leaves. We also saw bisons and turkeys at the Elk & Bison Prairie. They were pretty chill ╰⋃╯

Funny misheard lyrics

I mishear lyrics pretty frequently, which always amuse myself and folks around me. Then one day I thought, well, I might as well keep a log to amuse myself later and hopefully bring some laughter to more folks. Be aware! Bad jokes ahead!

News

I am generally not a fan of sharing my life all over the Internet, but thought it’d be good to keep a record of things that I thought worth sharing. Then one day when I look back, maybe I’ll surprise me.

Using NLP to Recommend Health Tweets

Using Natural Language Processing techniques, I build a recommendation system for health related tweets.

Predicting Salaries for Job Postings

Using regularized linear regression and random forest to predict salaries for job postings.

Using XGBoost to Predict Elo Customer Loyalty

My first ever Kaggle Competition! It was lots of fun!

Leetcode Algorithm Questions in Python 3

Algorithmic thinking is a crucial component in every profession that involves coding, including data science. Here I’m documenting my solutions to algorithm questions on Leetcode, in hope that it would be of help to anyone interested.

Machine Learning with Python

Some code snippets for common machine learning practices.

Exploratory Data Analysis and Two Regression Algorithms in R

Understanding service time and quality score using linear regression and random forest.

Matching Documents with TFIDF Weighted Document Vectors

Combine the power of TFIDF and word vectors to relate documents.

The cup subalgebra has the absorbing amenability property

Published in International Journal of Mathematics, 2016

Consider an inclusion of diffuse von Neumann algebras A inside M. We say that the inclusion has the absorbing amenability property (AAP) if for any diffuse subalgebra B inside A and any amenable intermediate algebra D between B and M, we have that D is contained in A. We prove that the cup subalgebra associated to any subfactor planar algebra has the AAP.

Recommended citation: Brothier A. & Wen, C.(2016). The cup subalgebra has the absorbing amenability property, International Journal of Mathematics, 27, 1650013.
https://www.worldscientific.com/doi/10.1142/S0129167X16500130

Amenable extensions in II1 factors

Published in Vanderbilt University Electronic Theses and Dissertations, 2016

Recommended citation: Wen, C. (2016). Amenable extensions in II1 factors. Retrieved from vVanderbilt University Electronic Theses and Dissertations.
https://etd.library.vanderbilt.edu/available/etd-06152016-134905/unrestricted/Wen.pdf

Maximal amenability and disjointness for the radial masa

Published in Journal of Functional Analysis, 2016

We prove that the radial masa C in the free group factor is disjoint from other maximal amenable subalgebras in the following sense: any distinct maximal amenable subalgebra cannot have diffuse intersection with C.

Recommended citation: Wen, C.(2016). Maximal amenability and disjointness for the radial masa, Journal of Functional Analysis, 270(2), pp. 787-801.
https://www.sciencedirect.com/science/article/pii/S0022123615003298

Singularity of the generator subalgebra in q-Gaussian algebras

Published in Proceedings of American Mathematical Society, 2017

We prove that the generator masa in the q-Gaussian factors, where -1<q<1, is always singular.

Recommended citation: Wen, C.(2017). Singularity of the generator subalgebra in *q*-Gaussian algebras, Proceedings of American Mathematical Society, 145(8), pp. 3493-3500.
http://www.ams.org/journals/proc/2017-145-08/S0002-9939-2017-13481-9/S0002-9939-2017-13481-9.pdf

Maximal amenability of the generator subalgebra in q-Gaussian von Neumann algebras

Published in Journal of Operator Theory, 2018

We develop a structural theorem for the q-Gaussian algebras, namely, we construct a Riesz basis for the q-Fock space in the spirit of Radulescu. As an application, we show that the generator subalgebra is maximal amenable inside the q-Gaussian von Neumann algebra for any real number q with absolute value less than 1/9.

Recommended citation: Parekh S., Shimada K. & Wen, C.(2018). Maximal amenability of the generator subalgebra in *q*-Gaussian von Neumann algebras, Journal of Operator Theory, 80(1), pp. 125-152.
http://www.mathjournals.org/jot/2018-080-001/2018-080-001-007.html

Teaching Assistant, Vanderbilt University, 2011-2014

Undergraduate course, Vanderbilt University, Department of Mathematics, 2011

• Fall 2014, Teaching Assistant, MATH 150A: Single-Variable Calculus I
• Spring 2014, Teaching Assistant, MATH 155B: Accelerated Single-Variable Calculus II
• Fall 2013, Teaching Assistant, MATH 155B: Accelerated Single-Variable Calculus II
• Spring 2013, Teaching Assistant, MATH 196: Differential Equations with Linear Algebra
• Fall 2012, Teaching Assistant, MATH 150A: Single-Variable Calculus I
• Spring 2012, Teaching Assistant, Math 155A: Accelerated Single-Variable Calculus I
• Fall 2011, Grader, MATH 362A: Functional Analysis

Visiting Assistant Professor, University of California, Riverside, 2016-Present

Undergraduate, University of California, Department of Mathematics, 2016

I taught various classes at the college level, from Pre-Calculus, Calculus to upper-division classes such as Optimization and Fourier Analysis.