At a show (Yamaha Rick Marotta HipGig shown)

Bill Garcia

Undergraduate

Department of Mathematics, Statistics, and Computer Science (web)
 - University of Illinois @ Chicago (web)

Major: Mathematics (pure)

Year: Junior

Contact: wgarci4@uic.edu | AIM: XxStaindSk8erxX | Campus Housing resident in MRH


Current Courses | Courses I've Taken | What I Do at UIC | Research Interests/Goals | Personal

 


 

Current Courses I'm Taking:

  • Math 435 - Foundations of Number Theory (Prof. Teitelbaum) - web
  • Math 516 - Second Course in Abstract Algebra I (Prof. Srinivasan) - web
  • Math 430 - Formal Logic I (Prof. Thulin) - web
  • Math 496 - Independent Study (Prof. Radford)
    Topic: Lie Algebras

 


 

Math Courses I've Taken

  • Math 181 - Calculus II (Prof. Stawiska)
  • Math 182 - Emerging Scholars Workshop for Calculus II (Jeff Olsen)
  • Math 210 - Calculus III (Prof. Yoo)
  • Math 211 - Emerging Scholars Workshop for Calculus III (Dean Leonardi)
  • Math 215 - Introduction to Advanced Mathematics (Prof. Masur)
  • Math 313 - Analysis (Prof. Wood)
  • Math 320 - Linear Algebra I (Prof. Srinivasan)
  • Math 330 - Abstract Algebra I (Prof. Shipley)
  • Math 417 - Complex Analysis (Prof. Shalen)
  • Math 425 - Linear Algebra II (Prof. Srinivasan)
  • Math 431 - Abstract Algebra II (Prof. Shipley)
  • Math 496 - Independent Study (studied quadratic reciprocity, primes 1 (mod 4), and prime distribution under the guidance of Prof. Teitelbaum)

 


 

What I Do at UIC (jobs and responsibilities)

Mathematical Sciences Learning Center (web)

  • I currently tutor at the MSLC located in SEO 430, and I can help with virtually any course listed above -- including the lower-level, related courses.
  • I've been around that place for over 2 years.
  • The website is located here.
  • Recently I've worked to acquire an old PC from the ACCC in order to implement a new sign-in process for students who are seeking tutoring. The point of this was to acquire more reliable statistics about who visits the MSLC. I've designed a web page located here as a front end for the sign-in process.

SACNAS (web)

  • I'm an active member of the UIC chapter of SACNAS - the Society for the Advancement of Chicanos and Native Americans in Science (web).
  • Last year, I got the opportunity to attend the national conference in Tampa Bay, Florida.
  • I'm the webmaster for UIC's chapter website, located here.

AMP (web)

  • I'm an active member of the Alliance for Minority Participation at UIC, whose goal is to actively reach out to minorities and promote careers in the sciences (and, in particular) and pursuing graduate degrees in STEM fields.
  • I've been active in both areas of this program: (1): Research (currently studying mathematical results related to the Prime Number Theorem, under the guidance of Prof. Teitelbaum) ... and ... (2): ESP Workshop Assistant (I've worked as an ESP workshop assistant for both Math 180 and Math 181 courses)
  • I've attended two IL-AMP annual conferences so far.

Department of Mathematics, Statistics, and Computer Science (web)

  • I've worked as a homework grader for 3 semesters so far (Math 180 - Prof. Berman; Math 181 - Prof. Thulin; Math 180 - Prof. McCathern)
  • Sometimes I attend Friday teas if I get enough courage to walk into the room as the sole undergrad.
  • I'm passionate about recruiting younger students into the mathematics major, and I find it a real shame that the Department as a whole doesn't actively promote undergraduate research (enough).
  • Apparently I couldn't stay away from SEO last summer, because I worked in the MSLC for Summer Session 2007.

ASCEND (web)

  • I've been a ... staff(?) member of the ASCEND summer program at UIC, working (essentially) for Prof. Teitelbaum, as he was the PI for the project.
  • ASCEND is a multi-part program to promote career in STEM fields, particularly to minority groups, sponsored by the National Science Foundation
  • My area of ASCEND-type work was in the mathematics enrichment portion of the program. We prepared approx. 35-50 of the ASCEND incoming college freshmen for their up-and-coming mathematics courses, with the goal of getting everyone through Math 180.
  • My position in the program was recently described by Teitelbaum as the "undergraduate mentor," aka "the big kid in the group."
  • I've worked for the ASCEND program both years it's been offered (Summer 2006 and Summer 2007)
  • The Summer 2006 mathematics staff was: Marcy Robertson, Troy Hernandez, Luissette Hernandez-Medina, Mechie Nkengla, Jeremy Teitelbaum, and I.
  • The Summer 2007 mathematics staff was: Marcy Robertson, Richard Jordan, Luissette Hernandez-Medina, Mechie Nkengla, Jeremy Teitelbaum, and I.
  • As part of the program, I was able to give 4 "mini-lectures" on the following mathematical topics: sequences/series, complex exponentiation and Taylor series, and fractals and Chaos Theory (intro. to dynamical systems).
  • Money was the last reason I chose to work on ASCEND. In fact, with UIC parking fees, I didn't end up making much at all... It's all about the opportunity to work with talented people and have those people actually care about your opinions (and furthermore trusting my own mathematical abilities and knowledge).
  • Check out the ASCEND Facebook group here.

Academic Computing and Communications Center (web)

  • I've worked for the ACCC at UIC since May of 2007.
  • I started as a lab monitor, managing ACCC's public computer labs, but I've since moved on to the Client Services Office in SEL 2267 and the Cave (microrepair office).
  • I've been active in creating and appending to ACCC's "wiki" documentation about such fields as UNIX training, which I was currently asked to cover at recent CSO meetings.
  • I'm also pretty active in working with RT Helpdesk, ACCC's online problem-tracking system. So if you email a question/complaint to consult@uic.edu, I might just respond to you -- if you're unlucky. :-)
  • I'd like to move on to another area in ACCC -- in particular, the LAN or security groups.

Past or Dormant Things

  • For two years I was involved with UIC Concert Band as a percussionist, and I was treasurer for the organization for a year.
  • I was employed by the Department of Performing Arts for a year as equipment manager.
  • I worked for ARAMARK at UIC Pavilion for about 2 years. Since ARAMARK isn't under contract with UIC anymore, I doubt I'll be returning to that place.

 


 

Research Interests/Goals

Currently I'm an undergraduate mathematics major, and I plan to attend graduate school (very likely at UIC, unless I get a really good offer elsewhere) in hopes of earning a PhD in pure mathematics. The fields I'm currently most interested in are algebra (abstract or Lie algebras) and number theory. It's quite possible that I'll pursue an area of algebraic or computational number theory, as computers have always been a hobby of mine.

I'm also very interested in computer programming, cyber security, web design, and theoretical physics (in particular, areas of cosmology and quantum gravity, and interpretations of quantum mechanics). I read A Brief History of Time while a freshman in high school and became hooked. Contemplating the mere existence of black holes really changed my whole perspective on the universe.

Make fun of me all you want, but movies such as A Beautiful Mind (maybe obvious) and Jurassic Park (maybe not so obvious) have had a significant impact on my life. The latter introduced me to Chaos Theory, and after reading Gleick's Making a New Science, I was never able to look at the world in the same way as before. A Beautiful Mind suggested a sense of mathematical intuition as presented through John Nash, whose "governing dynamics" suggested a fundamental property of the universe. Combine that with the universality mentioned in Gleick, and you can see that I am very interested in fundamental principles and deep connections.

I chose to study mathematics (not exclusively, but especially) because of its elegance, beauty, and interconnectedness. I'm among those who believe that doing mathematics is the closest one can come to realizing the notion of absolute truth. I feel that mathematics has a relation to a higher entity associated in some way with the universe.

 


 

 

Personal

Besides mathematics, computers, and theoretical physics, my hobbies/interests incude:

  • Playing drums and percussion
  • My band
  • Guitar and piano
  • Writing
  • Web design
  • Playing video games
  • Sleeping
  • Rollerblading
  • Acting

I play in a band called the Button Pushers. Check us out here.

Some day I'll add a pictures section here.

Some math people I know...

The following people from MSCS have worked with me on various things in the past (or are those whom I just have much respect for):

  • Florencio Diaz - Undergraduate advisor who's helped me to get to do almost every cool thing I've been able to do, as it pertains to the math dept. (ASCEND, SACNAS, AMP...)
  • Troy Hernandez - Graduate student in statistics and the only person from MSCS to go to one of my bands shows!
  • Marcy Robertson - A sort of graduate mentor for me in pure math. She can always give me the scoop on grad school.
  • Prof. Thulin - My boss at the MSLC. He didn't protest when I wanted to put a sign-in computer in the MSLC, so that's pretty cool.
  • Prof. Carraminana - He's interested in helping undergraduates do research and also works with the Latino Cultural Center and AMP.
  • Prof. Teitelbaum - One of the main reasons I have a job at the MSLC, and he let me hang out with the ASCEND group. Also, he agreed to be my advisor for my undergraduate research.
  • Prof. Srinivasan - A well respected mathematician in her field who will always let me know if I get off track.
  • Jeff Olsen - Former grad student in MSCS... he got his PhD (I think he's in Vermont now?). He was my TA for Math 181 and taught my first ESP course, inspiring me to get involved with AMP.

So, I don't mean to brown-nose in any way in this section. I'm just mentioning some people who've enabled opportunities and made my experience as a math major a very positive one here at UIC.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

That's all I'm writing for now. It's late.

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