Fall 2018: Agent-Based Modelling

We will meet 3-5pm on Fridays in room 118 in 170 Hope Street. Papers and summaries will be on dropbox.

14 SepBackgroundBjorn
21 SepDSI ColloquiumMichael Littman
28 SepMigration of blue whalesStephanie
5 Oct - 7 DecWork on selected model problems All

Spring 2018: Probability and Statistics

24 JanOrganizational meetingAll
31 JanContinuation methods and auto07p IBjorn
7 FebContinuation methods and auto07p IIBjorn
14 FebClassification algorithms IMelissa
21 FebClassification algorithms IIMelissa
28 FebFAT* conference talksKatie
7 MarGibbs random fieldsRebecca
14 MarClustering algorithmsXuefei
21 MarClustering algorithms/Information theoryXuefei/Stephanie
4 AprCalculus at Macalester CollegeLori Ziegelmeier
11 AprInformation theoryStephanie

Fall 2017: Dynamics and Statistics

6 SepOrganizational meeting
13 SepParameter estimation: optimizationSteph
20 SepMarkov-Chain-Monte-Carlo methodsKatie
27 SepParameter estimation: application to FRAP data analysisBjorn
11 OctParameter estimation: Sequential Monte-CarloKatie
18 OctParameter estimation: compressed sensingXuefei
25 OctParameter estimation: particle-based simulationsKaren
31 OctParallel computing with MatlabMelissa
7 NovParallel computing with Matlab (contd) / IDPs and career preparation Melissa/all
15 NovMulti-scale simulations of collective cell behavior, image analysis and machine learningDhananjay Bhaskar

Spring 2017: Data science

1 FebOrganizational meeting
8 FebHedonometerKristina
15 FebData visualizationDavid Laidlaw (CS)
22 FebMachine learningMelissa
1 MarMachine learning 2All
8 MarGoogle's deep learning toolboxAng
15 MarDigital humanitiesMark Howison (Data Science Practice)
22 MarDigital humanities (continued)Ross, Stephanie
5 AprTalkScott McKinley
12 AprPersistent homologyVeronica
19 AprInference in Dynamical SystemsSayan Mukherjee
26 AprPersistent homologyAlexandria
3 MayCareers in industryChao

Fall 2016: Vegetation patterns

7 SepOrganizational meeting
14 SepOverview of vegetation patterns and modellingBjorn
21 SepPattern formation via amplitude equationsVeronica
28 SepPattern formation via amplitude equationsVeronica
12 OctRhomboid pattern analysisBjorn
19 OctResearch overviewsBjorn, Katherine, Melissa
26 OctResearch overviewsAl, Chao, Veronica
2 NovResearch overviewsAng, Clayton, Kristina, Ross, Stephanie
9 Nov[Gowda et al.] paper
16 NovPower laws in experiments and models
30 NovLoalized vegetation patterns

Spring 2016: Nonlinear waves: spatial dynamics and Fredholm approaches

4 Feb Overview Bjorn
11 Feb Localized travelling waves Bjorn
18 Feb Wave trains Bjorn
25 Feb Melnikov theory Bjorn
3 Mar Melnikov theory Bjorn
10 Mar Fredholm theory Bjorn
17 Mar Patterns on growing domains Ryan Goh
24 Mar Fredholm theory Bjorn
7 Apr Spatial dynamics Bjorn
14 Apr Spatial dynamics Bjorn
21 Apr Spatial dynamics Bjorn
5 May Outlook Bjorn

Fall 2015: Microscopic versus macroscopic models

DateTopic Speaker
7 OctLocust swarms and continuum limitsBlake
14 OctOverview: continuum limitsJohn
21 OctResearch projectsAlexandria, Chao, Veronica
28 OctResearch projectsLiz, Paul, Blake, Bjorn
4 NovLarge systems of interacting particlesAlexandria and Veronica
11 NovWork out details: Large systems of interacting particlesAll
18 NovWork out details: Large systems of interacting particlesAll
2 DecWork out details: Large systems of interacting particlesAll

Spring 2015: Dynamics of networks

DateTopic Speaker
29 JanOrganizational meetingAll
5 FebStatic networksAlexandria and Veronica
19 FebStatic networksAlexandria and Veronica
26 FebDigression: nonlinear stabilityBjorn
5 MarSocial insectsBjorn and Paul
12 MarBrief research talkseveryone
19 MarBrief research talkseveryone
2 AprOrganization of rest of semester
9 AprEcological networksMara
16 AprInfectious diseases on networks
23 AprInfectious diseases on networks
30 AprInfectious diseases on networks

Fall 2014: Traffic flow

DateTopic Speaker
8 SepOrganizational meeting
15 SepOverview of traffic flow modelsBjorn
22 SepInitial-value problem solvers for hyperbolic-parabolic systemsBlake
29 SepSwarming and flockingAl
6 OctEquation-free analysisPaul
20 OctFrom micro- to macroscopic modelsDave, David, and John
27 OctFrom micro- to macroscopic modelsDave, David, and John
3 NovData assimilationChao
17 NovStochastic modellingAl, David
24 NovChip firing and traffic modelsCaroline Klivans
1 DecPedestrian trafficVeronica
8 DecOrganizational meeting

Spring 2014: Stochastic slow-fast systems

DateTopic Speaker
29 JanOrganizational meeting
5 FebGeometric singular perturbation theory for deterministic systemsBjorn
12 FebLarge deviations theoryDavid
26 FebKramer's lawBjorn
5 MarAsymptotic analysis, Laplace's method, Stationary phaseJohn
12 MarKramer's law: 1D flowsAl
19 MarKramer's law: spectrum of Fokker-Planck operatorLiz

Fall 2013: Degree theory, Morse theory, variational methods, Conley index

DateTopic Speaker
24 SepImplicit function theorem, continua of solutionsMiles
1 OctDegree theoryBjorn
8 OctApplications of degree theory, Leray-Schauder degreeBjorn
22 OctVariational methods: direct methods, mountain-passLaura
29 OctVariational methods: genus, Ljusternik-SchnirelmanAlexandria, Kelly
5 NovMorse indices, Wazewski's principleLiz
19 NovConley index or knots/braid theoryPaul
19 NovMorse theoryBjorn
3 DecDiscussion of LCDS workshop in May 2014
10 DecDiscussion of LCDS workshop in May 2014
18 DecInformal research discussion

Spring 2013: Climate tipping points

DateTopic Speaker
28 JanOrganizational meeting
4 FebSolving SDEs numericallyBjorn
11 FebClimate tipping as noisy bifurcationAndrew
25 FebRate-dependent tippingLaura
4 MarStochastic resonanceKelly
11 Marinformal discussion about research
18 Marinformal discussion about research
1 AprIce ages, Milankovich cycles, and ice sheetsPaul
11 AprApplications of tipping point analysesLiz
22 Aprresearch project overviews Kelly, Liz, and Paul
29 Aprresearch project overview, and outline of fall reading group Laura, Bjorn
6 Mayoutline of fall reading group Bjorn

Fall 2012: Lattice dynamical systems

DateTopic Speaker
22 AugOrganizational meeting
10 SepOverview Bjorn
17 SepCenter manifolds and FPUAndrew
24 SepPropagation failure Liz
1 OctDNLS Laura
15 OctStanding waves Kelly
22 OctVariational methods Paul
12 NovMoving waves Bjorn
19 NovNonlinear stability Aaron
26 NovModulation equations Martina
3 Dec
10 DecDiscretization of PDEs Bjorn

Spring 2012: Networks and biological signalling pathways.

3 Feborganizational meeting
10 FebTyson's yeast cell cycle papersLiz
17 FebTyson's and Strogatz's paperLiz and Toan
24 FebKuramoto modelBjorn
2 MarCalcium dynamicsAndrew
9 MarBrief discussion of projectsKelly, Laura, Martina, Toan
23 Marorganization
6 Aprsingular perturbation theory + synchronyBjorn
13 AprBelykh's papersLaura
20 AprGroupoidsLiz
27 AprGroupoidsKelly
4 MayLCDS workshop
11 MayKuramoto modelMartina

Fall 2011: Spatial dynamics, nonlinear waves, and numerical continuation methods.

23 SepOverview of spatial dynamicsBjorn
30 SepSpectral theory (rest states)Bjorn
7 OctSpectral theory (wave trains)Bjorn
14 OctModulations of wave trainsBjorn
21 OctSpectral theory (pulses)Bjorn
28 OctNewton polygons, and Fredholm theoryKelly and Laura
4 NovConference at Brown
18 NovLyapunov-Schmidt + exponential dichotomies Bjorn
2 DecAUTOBjorn
9 DecEPCONTBjorn