BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Annaliese Keiser (University of Michigan) DTSTART:20210526T190000Z DTEND:20210526T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/1 DESCRIPTION:Title: An Introduction to Configuration Spaces and Braid Groups\nby A nnaliese Keiser (University of Michigan) as part of Graduate Online Semina r Series (GOSS)\n\nLecture held in TBA.\n\nAbstract\nThis is an expository talk exploring configuration spaces and braid groups. I will give definit ions and examples of configuration spaces and braid groups\, explore the c onnection between the two\, and\, time permitting\, state properties of ea ch. I consider these ideas from the perspective of algebraic topology and combinatorial group theory\, although these objects appear and have applic ations in many other areas of mathematics.\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Sven Cattell (Elastic) DTSTART:20210602T190000Z DTEND:20210602T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/2 DESCRIPTION:Title: The Math of ML Security\nby Sven Cattell (Elastic) as part of Graduate Online Seminar Series (GOSS)\n\nLecture held in TBA.\n\nAbstract\ nSecurity is a cat and mouse game. Attackers innovate to bypass defenders\ , and defenders innovate to catch the new attacks. One of the promises of AI is its ability to adapt for us. However\, the machine learning models w e deploy are trained on a chronological snapshot of the ever-changing data . They memorize and generalize well on that snapshot but are unreliable wh en the landscape shifts\, or have various adversarial examples and other h oles that let attackers to bypass the ML models. This talk will focus on h ow this plays out mathematically on the large datasets we use to create th ese models. We will also talk about how I transitioned into this industria l space\, from a PhD in equivariant algebraic topology and advice that mig ht make things easier for future grad students looking towards ML.\n\nBio: \nSven Cattell is a Senior Security Data Scientist at Elastic. He receive d his mathematics PhD from Johns Hopkins University where his thesis focus ed on equivariant algebraic topology. During his post doctoral his focused shifted to the geometry of machine learning. While working on his postdoc he co-founded the AI Village at DEFCON which will be at DEFCON for the fo urth time this year. He also built a math exhibit for the National Science Fair in DC and a game to teach kids about disinformation and spam. He now works at Elastic Security on their malware models trying to improve the m odel and secure it against adversarial attacks.\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Nick Meyer (University of Nebraska\, Lincoln) DTSTART:20210609T190000Z DTEND:20210609T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/3 DESCRIPTION:Title: Heegaard Splittings and Trisections 101: A Crash Course in Manifol d Decompositions in Dimensions Three and Four\nby Nick Meyer (Universi ty of Nebraska\, Lincoln) as part of Graduate Online Seminar Series (GOSS) \n\nLecture held in TBA.\n\nAbstract\nIn this talk\, I will discuss Heegaa rd splittings of 3-manifolds and trisections of 4-manifolds. These decompo sitions cut the manifold into 1-handlebodies of appropriate dimension whos e common intersection is a closed\, orientable surface. By studying these decompositions\, we obtain lots of information about the manifolds that th ey determine. This talk is based in part on David Gay's "From Heegaard spl ittings to trisections\; porting 3-dimensional ideas to dimension 4."\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Kimberly Ayers (Cal State San Marcos) DTSTART:20210616T190000Z DTEND:20210616T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/4 DESCRIPTION:Title: Stochastic Logistic Maps and Invariant Distributions\nby Kimbe rly Ayers (Cal State San Marcos) as part of Graduate Online Seminar Series (GOSS)\n\nLecture held in TBA.\n\nAbstract\nAbstract: The logistic map\, given by the mapping $f(x)=\\lambda x(1-x)$\, maps the interval $[0\,1]$ to itself when $\\lambda$ takes values between 0 and 4. It's a famous exa mple of a map that displays chaotic behavior - behavior that is seemingly without pattern or predictability. One hallmark of chaos is what's known as ``sensitivity to initial conditions" - two points that start arbitraril y close to each other will eventually have orbits that diverge from each o ther. The deterministic logistic map has been well studied. We are inter ested in the \\emph{stochastic} logistic map - the map given when the $\\l ambda$ values take independent random values according to a distribution o n $[0\,4]$. Since there is a stochastic element to this map\, we can no longer study the sequence of points given by taking iterates of the logist ic maps\; the value of $f(x)$ is now a random variable\, and we study its distribution under successive iterates. In this talk\, we'll explore what the pattern of distributions can tell us about the map\, and look for \\e mph{invariant} distributions - distributions that remain fixed under succe ssive iterates of the stochastic logistic map.\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Sarah Griffith (Brown University) DTSTART:20210623T190000Z DTEND:20210623T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/5 DESCRIPTION:Title: Motivating the Tropical Semiring\nby Sarah Griffith (Brown Uni versity) as part of Graduate Online Seminar Series (GOSS)\n\nLecture held in TBA.\n\nAbstract\nWe will present some applications of the min plus sem iring in graph theory and other areas\, including the control of nuclear p ower plants.\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Ben Tighe (University of Illinois at Chicago) DTSTART:20210630T190000Z DTEND:20210630T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/6 DESCRIPTION:Title: Extending differential forms across singularities\nby Ben Tigh e (University of Illinois at Chicago) as part of Graduate Online Seminar S eries (GOSS)\n\nLecture held in TBA.\n\nAbstract\nGiven a smooth projectiv e variety $X$\, there are many contexts for which one can study "different ials" on $X$. When the ground field is $\\mathbf C$\, we may define "holo morphic differentials" on $X$ which often encapsulate the geometry of $X$ and show that these agree with the algebraic differentials that one encoun ters in a first-year algebraic geometry course in a very precise way. \n\ nWhen $X$ has singularities\, it no longer makes sense to define holomorph ic differentials. Moreover\, even though algebraic differentials exist fo r all varieties\, they do not capture the geometry of $X$ in the same way holomorphic differentials do in the smooth case. The aim of this talk wil l be to describe a suitable replacement in this setting.\n\nThe outline of the talk then will be as follows. We will discuss how holomorphic differ entials show up in complex algebraic geometry (Serre duality\, Kodaira van ishing\, Hodge decomposition theorem\, Serre GAGA). We will then look at different kinds of differentials on singular spaces and see how good they are at replacing holomorphic differentials. In particular\, we will look closely at reflexive differentials\, which inherit many properties that we see in the smooth case. The last part of the talk will concern the "exte nsion problem" for reflexive differentials. Time permitting\, we will loo k at applications of the extension problem to recent work.\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/6/ END:VEVENT BEGIN:VEVENT SUMMARY:No seminar DTSTART:20210707T190000Z DTEND:20210707T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/7 DESCRIPTION:by No seminar as part of Graduate Online Seminar Series (GOSS) \n\nLecture held in TBA.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Dan Summers (Chaminade High School) DTSTART:20210714T190000Z DTEND:20210714T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/8 DESCRIPTION:Title: A RSK-Y Proposition\nby Dan Summers (Chaminade High School) as part of Graduate Online Seminar Series (GOSS)\n\nLecture held in TBA.\n\n Abstract\nIn this talk\, we will discuss two areas of mathematics\, Algebr a and Combinatorics\, which have been paired together with great results. We present two sets of combinatorial objects which are equinumerous\, the Robinson–Schensted–Knuth correspondence between these two sets\, and how the RSK correspondence can produce an unexpected result about the prod uct of two polynomials. Along the way\, we examine some of the algebraic and combinatorial properties of the symmetric polynomials.\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/8/ END:VEVENT BEGIN:VEVENT SUMMARY:No seminar DTSTART:20210721T190000Z DTEND:20210721T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/9 DESCRIPTION:by No seminar as part of Graduate Online Seminar Series (GOSS) \n\nLecture held in TBA.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Neal Coleman DTSTART:20210728T190000Z DTEND:20210728T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/10 DESCRIPTION:Title: Transitioning from Academia to Industry\nby Neal Coleman as p art of Graduate Online Seminar Series (GOSS)\n\nLecture held in TBA.\n\nAb stract\nHaving earned a PhD but now working in data science and software e ngineering\, I'll share:\n\n- My own experiences\n\n- Academia & industry: compare/contrast culture and expectations\n\n- Skills: Transferable vs no n-transferable\n\nAt the end of the talk\, I hope you'll be in a better po sition to make an informed decision about post-graduate career decisions.\ n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/10/ END:VEVENT BEGIN:VEVENT SUMMARY:No seminar DTSTART:20210804T190000Z DTEND:20210804T200000Z DTSTAMP:20260404T095207Z UID:GOSS2021/11 DESCRIPTION:Title: No seminar\nby No seminar as part of Graduate Online Seminar Series (GOSS)\n\nLecture held in TBA.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/GOSS2021/11/ END:VEVENT END:VCALENDAR