## GAUSS (Graduate and Undergraduate Students Seminar)

## Upcoming Seminar

More to come in Fall 2019!

## Past Seminars

**When**: Friday, April 26, 2019 at 4:00pm in PB 012

**Presenter**: Jack Luong (Fresno State student)

**Title: **Properties of Explicit Solutions to the Radial Total Variation Flow

**Abstract: **Suppose all but part of an image is corrupted, and the non-corrupted part is enclosed
in some boundary. By using the non-corrupted information within the boundary, we
can denoise the rest of the image. This process is described by the partial differential
equation called the* Total Variation Flow (TVF). *By considering the radial formulation of the TVF, we find explicit solutions given
a specific type of initial data, and show how we can use these explicit solutions
to approximate a more general class of initial data. We will also introduce some
necessary concepts such as convergence, compact sets, and L^1 spaces - so no serious
math background is required!

**When**: Friday, March 1^{st}, 2019, 5:00-5:30 pm in PB 012

**Presenter**: Summer Al-Hamdani (Fresno State student)

**Title: **Applications of Group Theory in Molecular Spectroscopy

**Abstract: **Spectroscopy is the study of the interaction between matter and electromagnetic radiation.
Through spectroscopy, we can study the composition and structure of matter at the
molecular level, the macroscopic level, and even over astronomical distances. Many
of the rules dictating spectroscopy and the complex problems that arise follow from
the symmetry of the problem. Consequently, we can define groups to better describe
the symmetry of a molecule and relate that symmetry to its physical properties. We
will discuss the conceptual basis for groups that describe various physical properties
of molecules.

**Friday, February 1**

**When:**^{st}, 2019 at 4:00 pm in PB 012

**Presenter: **Dr. Przemyslaw Kajetanowicz (Fresno State)

**Title: **The Flavor of Exploring Mathematics with your Computer

**Abstract: **How about seeing math come alive in front of your eyes? Watching math concepts in
action? We will take a trip into selected topics in mathematics with the assistance
of GeoGebra - a piece of powerful yet easy-to-use software with amazing capabilities.
From elementary mathematics to multivariate calculus to differential equations to
linear algebra, we will be experiencing the flavor of interweaving math rigor with
computer-aided experimentation. A brief introduction to GeoGebra functionality will
also be given, to enable you to start experimenting on your own.

**When: **Friday, December 7^{th}, 2018 from 4:00-4:30 pm in PB 012

**Presenter: **Miguel Bueno (Fresno State student)

**Title: **The Effectiveness of Regulatory Policies in Reducing Airbnb's Presence in Local Markets

**Abstract: **The growth of the sharing economy has received increasing attention from economists
and policy-makers. Airbnb, an online home-sharing platform based out of San Francisco,
has remained at the forefront of the discussion. Recent literature suggests that by
restricting the supply of housing, Airbnb exacerbates the current affordability crises
plaguing many US cities (Horne and Merante 2017, 19-24), potentially gentrifying neighborhoods
and displacing residents (Lee, 2016, 243). Such concerns have prompted policy-makers
to regulate the home-sharing platform by implementing occupancy taxes (Erb 2017),
executing “Cool Dow Periods”, issuing short-term-rental permits (San Francisco
Office of Short Term Rentals,n.d.), and/or limiting the number of days listings are
available (Booth 2016). While recent policy decisions have drawn criticism from critics
and advocates of Airbnb alike, the effectiveness of such policy implementations has
not been measured. This research aims to empirically estimate the effectiveness of
such policies. In particular, the removal of thousands of Airbnb units who failed
to register with the City of San Francisco by January 2018. If there is a notable
effect on residential rental prices, economic theory dictates this could be attributed
to a decline in the supply of Airbnb units – ceteris paribus.

**When: **Friday, December 7^{th}, 2018 from 4:30-5:00 pm in PB 012** **

**Presenter: **Chris Newmark (Fresno State student)

**Title: **The Statistics of Bitcoin

**Abstract: **Bitcoin has become very popular over the last several years. Among the 2099 different
crypto-currencies, Bitcoin is the most popular - and continues to be a source of inspiration
and controversy. Investment institutions are taking a serious interest in Bitcoin,
but just how risky is this new digital currency? In this talk, we explore some basic
statistical topics applied to Bitcoin. We will then give an overview of Extreme Value
Analysis and show how this branch of statistics can be used to determine the risk
associated with Bitcoin.

**When: **Friday, October 12th, 2018 at 4 pm in PB 012

**Presenter**: Oscar Castanos (Fresno State student)

**Title**: On Volterra Quadratic Stochastic Operators of a Two-Sex Population

** Abstract: **We consider a family of operators which model the behavior of a current generation
and its trajectory for future generations. We observe the fixed points of our operators
and the way trajectories behave around these fixed points. We use the eigenvalues
of the Jacobian matrix of our operator to find the type of fixed points of the operator.

**When:** Friday, February 2nd, 2018 at 3 pm in PB 012

**Presenters:** Ariana Cavazos and Abigayle Dirdak (Fresno State Students)

**Title: **Knot or Not a Knot? - A Game on Knot Diagrams

**When:** Friday, February 9th, 2018 at 3 pm in PB 012

**Presenters:** Emma DenBesten, Maria Diaz, and Yuliana Segura (Fresno State Students)

**Title: **Exploding Dots

**When**: Thursday, October 26th, 2017 at 4 pm in PB 033

**Presenter:** Ariana Cavazos (Fresno State student)

**Title:** An Analysis of Obesity and Climate Change in the United States

**Abstract:** Obesity and climate change have become a major issue in the United States. To gain
a better understanding on how obesity impacts the environment, we analyzed Edwards
and Roberts' study (2009), "Population adiposity and climate change." They made very
strict assumptions regarding the United Kingdom in the 1970s and in 2010. To better
represent the United States, we made our own assumptions so we could grasp an understanding
of how changes in BMI are affecting greenhouse gas emissions. Specifically, the study
focuses on greenhouse gases emitted from food production, vehicle transportation,
and air travel. We found that their assumptions were relatively consistent with our
normal weight population. However, Edwards and Roberts' predicted 2010 population
had greatly underrepresented estimates compared to our hypothetical overweight population,
thus suggesting that a raise in BMI is indeed causing greater emissions to be emitted
due to food production, vehicle emissions, and aviation fuel demands.

**When:** Thursday, September 28th, 2017 at 4 pm in PB 033

**Presenter:** Abigayle Dirdak (Fresno State student)

**Title:** Virtual Trivalent Braids

**Abstract:** This talk is based on my summer research experience during the 2017 Mathematics REU
(Research Experience for Undergraduates) at Fresno State. Come learn some cool stuff
about braids and their geometric and algebraic properties.

**If you need a disability-related accommodation or wheelchair access information, please
contact the Mathematics Department at 559.278.2992 or e-mail **mathsa@csufresno.edu. **Requests should be made at least one week in advance of the event.**