Math 586

Math 586a (Fall semester) 2 units: 

In the first semester, students are introduced to the scientific methodologies of data analysis, mathematical modeling, and applied mathematics through (a) faculty presentations once a week;  (b) student independent study of a research topic in applied mathematics.

(a) Each week, for approximately 10-12 weeks of the semester, a program professor will give a presentation on his/her research. Students are expected to attend, host at least 1 speaker, ask questions during the talk and then write a short essay (1/2 page) describing in your own words the field of study presented, formulating the main points of research inquiry in the field (potentially of interest for you if you choose to work with this professor in the future). Check the schedule of presentations. Students are expected to submit the 1/2 page report via D2L for each lecture no later than Sunday, 12pm (four days after respective lecture). 

(b) Each student is expected, within the first three weeks of the semester, to pick an adviser for this semester independent research study. Check the Applied Math faculty listing, communicate with him/her over e-mail or in person, and then inform the Program when an agreement is reached by submitting (a) name of advisor, (b) description of the subject, and (c) list of papers to study (at least 2) no later than September 30th.

  • You will have the whole semester to complete the research.  Please schedule regular meetings with the project adviser (recommended pace is once a week). 
  • We will have one session during the last week of the semester when all students from the class present the results of the independent research study in a short (15 min + 5 min for questions) presentation.  Presentation drafts (.ppt or .pdf) should be e-mailed to the Program a day before the actual presentation.
  • Your overall participation in the class will be graded as a letter grade A-E.

Math 586b (Spring semester) 2 units:

The class has two components: (a) faculty presentations once a week;  (b) student independent study of a research topic in applied mathematics:

(a) Each week, for approximately 10-12 weeks of the semester, a program professor will give a presentation on his/her research. Students are expected to attend, host at least 1 speaker, ask questions during the talk and then write a short essay (1/2 page) describing in your own words the field of study presented, formulating the main points of research inquiry in the field (potentially of interest for you if you choose to work with this professor in the future). Check the schedule of presentations. Students are expected to submit the 1/2 page report via D2L for each lecture no later than Sunday, 12pm (four days after respective lecture). 

(b)  Each student is expected, within the first three weeks of the semester, to pick an advisor for this semester independent research study. Check the Applied Math faculty listing; communicate with him/her over e-mail or in person, and then inform the Program when an agreement is reached also submitting the name of the advisor and description of the subject (title) no later than January 30th.

  • You will have the whole semester to complete the research.  Please schedule regular meetings with the project adviser (recommended pace is once a week). 
  • We will have one session during the last week of the semester when all students from the class present the results of the independent research study in a short (15 min + 5 min for questions) presentation. Presentation drafts (.ppt or .pdf ) should be uploaded a day before the actual presentation to D2L.
  • You are also expected to submit a written report (~10 page latex-produced, .pdf formatted document) before June 15th to D2L. 
  • Think of the report as a research paper in making.  Explain what the problem is? Why it is important? What is state of the art? Then detail your original approach, showing some results, and outlining path forward if you are to continue the studies.
  • Your overall participation in the class will be graded as a letter grade A-E.

Math 599 (or Dept 599) 3 units; Fall semester of 2nd year in Program:

In their third semester, students conduct advanced individual study of a research topic in applied mathematics. Each student is expected to select an advisor for this semester/term-long advanced independent study. Students should:

  • present results of the independent study at the fall workshop;
  • submit a written, research paper grade report (~ 20 page latex-produced, .pdf formatted document) by 11:59pm of December 31st. In other details, this activity follows generic rules of the Math586 sequence described above. (586C is the new, yet unofficial, number for the Research and Tutorial Group, Math 599)
  • Your overall participation in the project will be graded as Pass/Fail.

Archive:

Schedule for Fall, 2023: 
All sessions held on Wednesdays at 4:00pm at ENR2, Room S395
DATEPROFESSORTITLE & ABSTRACTNOTES
8/30/23Marat Latypov, Materials Science & Engineering
Student Host: Eric Chirtel
Graphs, transformers, and selected materials science problems 
9/13/23Rick Michod, Ecology & Evolutionary Biology
Student Host: Aiza Kabeer
Evolutionary transitions in individuality

Video of talk

This talk will be given on Zoom only: 

https://arizona.zoom.us/j/82126631493
Password: math

9/20/23Joanna Masel, Ecology & Evolutionary Biology
Student Host: Blake Bates
Beyond fitness: evolution in two dimensions 
9/27/23Russell Witte, Medical Imaging
Student Host: Stephanie Marsh
Transcranial Acoustoelectric Brain Imaging 
10/4/23Pierre Deymier, Matherials Science & Engineering
Student Host: Jake Callahan
New Frontiers of Sound Science and Technology Center 
10/11/23Ingmar Riedel-Kruse, MCB
Student Host: Jay Schaffer
Synthetic cell-cell adhesins and 4-bit logic for
programming multicellular interface patterns
 
10/18/23Ardith El-Kareh, BIO5
Student Host: Heng Wu
Mathematical modeling of cancer growth and treatment 
10/25/23Johan Rafelski, Physics
Student Host: Ian Luff
Exploring the early universe 
11/8/23Laura Miller, Mathematics
Student Host: Novel Dey
Flows around some soft coralsZoom only:
 https://arizona.zoom.us/j/2884139598
11/15/23Jan Wehr, Mathematics
Student Host: Eric Sung
Stochastic differential equations and their applications 
11/29/23Avelino Arellano, Hydrology & Atmo Sci
Student Host: David Ryan
Data Assimilation and Inverse Modeling of the Atmospheric Composition 
Schedule for Spring, 2023: 
All sessions held on Wednesdays at 4:00pm at the Math bldg. Room 501  or
Zoom:  https://arizona.zoom.us/j/83500162017    password: math
DATEPROFESSORTITLE & ABSTRACTNOTES
1/18/23Marek Rychlik, Mathematics
Student host: Jacob Quintero
Teaching machines to read, and how it will save livesJoint with Math graduate  program
1/25/23Kaitlin Kratter, Astronomy & Steward Observatory
Student host: Marium Yousuf 
From PDEs to the Solar SystemVideo
2/1/23Ingmar Riedel, MCB
Student host: Rebekah Saucier
**CANCELED**
Synthetic cell-cell adhesins and 4-bit logic for programming multicellular interface patterns
 
2/8/23Eric Butcher, AME
Student host: Rishi Pawar
Feedback Reshaping in the Delayed Kuramoto Model and Attitude Consensus ControlVideo
2/15/23Kyle Hanquist, AME
Student host: Ilya Kuk
Importance of Modeling to Hypersonic FlightVideo
2/22/23Chicheng Zhang, Computer Science
Student host: Saheed Ganiyu
Multi-task bandit and reinforcement learning through heterogeneous feedback aggregationVideo
3/15/23Eduardo Blanco, Computer Science
Student host: Andrew Arnold
Natural Language Processing: Introduction and Ongoing Research Projects 
3/22/23Alan Newell, Mathematics
Math student will host
Patterns and their order parametersJoint with Math graduate program
3/29/23Ibrahim Fatkullin, Mathematics
Math student will host
Topics in computational geometry and approximation theoryVideo
Joint with Math graduate program
4/5/23Janek Wehr, Mathematics
Student host: Christian Cooper
Motility-induced phase separationVideo
Joint with Math graduate program
4/12/23Laura Miller, Mathematics
Math student will host
Flows around some soft coralsVideo
Joint with Math graduate program
4/19/23Ardith El-Kareh. BIO5
Student host: Ayrton Almada Jimenez
  

Schedule for Fall, 2022: 
All sessions held on Wednesdays at 4:00pm at the Math bldg. Room 501  or
Zoom:  https://arizona.zoom.us/j/83500162017    password: math

DATEPROFESSORTITLE & ABSTRACTNOTES
8/24/2022Misha Chertkov, Applied Mathematics
Student host:
System 2 Applied MathematicsVideo
8/31/22Ingmar Riedel, MCB
Student host: Kevin Beck
Synthetic cell-cell adhesins and 4-bit logic for programming multicellular interface patternsVideo
9/14/22Joanna Masel, EEB
Student host: Asha Barua
2 mini talks: 1) Beyond fitness: evolution in two dimensions, and 2) Risk analysis for optimal deployment of non-pharmaceutical interventionsVideo
10/5/2022Guang Yao, MCB
Student host: Edward Huynh
Modeling to identify the robust modulators of cellular sleepVideo
10/12/2022Leonid Kunyansky, Mathematics
Student host: Rishi Pawar
Inverse problems for partial differential equations, arising in imaging and medical tomographyVideo
10/19/2022Ardith El-Kareh, Bio5
Student host: Christian Cooper
Mathematical modeling of cancer growth and treatmentVideo
11/2/2022Russell Witte, Medical Imaging
Student host: Rebekah Saucier
Mapping Current Densities in the Brain with Transcranial Acoustoelectric ImagingVideo
11/9/2022Marat Latypov, MSE
Student host: Marium Yousuf
Challenges and opportunities in computational thermodynamics of materials 
11/16/2022Laura Miller, Mathematics
Student host: Saheed Ganiyu
Using computational fluid dynamics to understand muscle driven movement by soft tissues and bodies: Case studies in tubular hearts and jellyfishVideo
11/30/2022Johann Rafelski, Physics
Student host: Andrew Arnold
Particles and Plasmas in the UniverseVideo

Schedule for Spring, 2022: 
All sessions held on Wednesdays at 4:00pm at ENR2 Room S395 or

dateprofessortitle & abstractnotes
1/12/2022No class this week  
1/19/22Marat Latypov, Materials Science & Engineering
Student host: Teddy Meissner
Materials informatics of structural metals and alloys
Video
 
1/26/2022Leonid Kunyansky, Mathematics
Student host: Ed McDugald and Joseph Ruiz
Inverse problems for partial differential equations,arising in imaging and medical tomography
Video
Jointly with Mathematics - via Zoom only
2/2/2022Jerry Moloney, Optical Sciences, Mathematics
Student host: Ari Bormanis and John Park
Applications of Applied Mathematics to Extreme Nonlinear Optics Research
Video
Jointly with Mathematics - via Zoom only
2/9/2022Rick Michod, Ecology & Evolutionary Biology
Student host: Sheila Whitman
Evolutionary Transitions in Individuality (background reading material will be sent via email)
Video
Zoom only
2/16/2022Kwang-Sung Jun, Computer Science
Student host: Jackson Zariski
Recent Developments of Interactive Machine Learning using Bandit Algorithms
Video
 
2/23/2022Ardith El-Kareh Fox, Physiology/ Microcirculation
Student host: Aaron Larsen
Mathematical modeling of cancer treatment: cellular pharmacodynamics, the cell cycle, and tumor-immune interactions 
3/2/2022Guang Yao, Molecular & Cellular Biology
Student host: Akshita Sharma
Model and modulate the cellular state of silence
Video
 
3/9/2022No class - Spring Break  
3/16/2022Travis Sawyer, Optical Sciences
Student host:  Sam Nasreldine
Advancing cancer imaging and diagnosis through mathematical modeling, optimization, and analysis
Video
Zoom only
3/23/2022Gregory Ditzler, Electrical & Computer Engineering
Student host: Ben Stilin
Theory of Adaboost
Video
 
3/30/2022Veaceslav Coropceanu, Chemistry & Biochemistry
Student host: Riyaaz Ray Vachani
Multiscale modeling of electronic processes in organic systems
Video
 
4/6/2022Hong Li, Chemistry & Biochemstrty
Student host: Ana Fernandez-Sirgo
Electronic and Magnetic Properties of 2D π-Conjugated Covalent Organic Frameworks
Video
 
4/13/2022Chris Henderson, Mathematics
Student host: Ana Fernandez-Sirgo
Front propagation in reaction-diffusion equationsJointly with Mathematics - In the Math Bldg, Room 501
4/20/2022Andrew Paek, Molecular & Cellular Biology
Student host: Woody March-Steinman
Self-organization of two-dimensional colonic monolayers as a model system for pattern formation
Video
 
4/27/22Misha Chertkov, Applied Mathematics
Student host: Jackson Zariski
System 2 Applied Mathematics
Video
Jointly with Mathematics @ ENR2 S395 and zoom (see link above)
5/4/2022

Jan Wehr, Mathematics
Student host:

Marcel Hudiani

Mathematical models of microswimmers and other diffusive systemsJointly with Mathematics - Zoom only @ https://arizona.zoom.us/j/87146526331 
no password

 

Schedule for Spring, 2021:  All sessions held via zoom

dateprofessortitle & abstractnotes
1/13/2021Misha Chertkov, Applied Mathematics
host: Robert Ferrando
Graphical Models of PandemicVideo
1/20/2021Marek Rychlik, Mathematics
host: Dan Van Boxel
Sequence-to-sequence mapping problem and CTCVideo
held jointly with Math graduate program
1/27/2021Jan Wehr, Mathematics
host: Fiona McCann
Emergent collective behavior of interacting microswimmersVideo
held jointly with Math graduate program
2/3/2021Leonid Kunyansky, Mathematics
host: Jalen Cates
Inverse problems for partial differential equations, arising in imaging and medical tomographyVideo
held jointly with Math graduate program
2/10/2021C.K. Chan, Astronomy & Steward Observatory
host: Marta Sowinski
Imaging Black Hole at Event Horizon Scale-Interferometry Image ReconstructionsVideo
2/17/2021Bernard Parent, Aerospace & Mechanical Engineering
host: Vianella Spaeth
Overcoming Stiffness in Simulating Plasma FlowsVideo
2/24/2021Laura Miller, Mathematics
host: Dunia Fernandez
Using computational fluid dynamics to understand jellyfish swimming and feedingVideo
held jointly with Math graduate program
3/3/2021Ibrahim Fatkullin, Mathematics
host: Matthew McCaskey
Statistical mechanics of graphs and partitionsVideo
held jointly with Math graduate program
3/17/2021Kris Klein, Lunar & Planetary Sciences
host: Erica Papke
Plasma Instabilities in the Young Solar Wind: Thermodynamics far from EquilibriumVideo
3/24/2021Taqi Raza, Management Information Systems
host: Alex Christensen
In(Security) and Un(Availability) of 4G/5G Networked Systems 
3/31/2021Lise Marie Imbert-Gerard, Mathematics
host: Addie Harrison
Wave propagation in inhomogeneous media: An introduction to Generalized
Plane Waves
Video
held jointly with Math graduate program
4/7/2021Xubin Zeng, Hydrology & Atmospheric Sciences
host: Alyssa Burritt
The Duet of Machine Learning and Conventional Modeling in Earth System Science: A Personal JourneyVideo
4/14/2021Xueying Tang, Mathematics
host: Nick Bagley
Subtask Analysis of Process Data Through a Predictive ModelVideo
held jointly with Math graduate program
4/28/2021Jianqiang Cheng, Systems & Industrial Engineering
host: Bao Do
Computationally Efficient Reformulations and Approximations for Chance Constrained OptimizationVideo
5/5/2021Tonatiuh Sanchez-Vizuet, Mathematics
host: Eonho Chang
The hybridizable discontinuous Galerkin method: an application to plasma equilibrium in fusion reactors

Video

held jointly with Math graduate program

Schedule for Spring, 2020:  All sessions held via Zoom

DATEPROFESSORTALK TITLE & ABSTRACTNOTES
1/15/2020Roberto Furfaro, Systems & Industrial Engineering
(host: Brian Toner)
Deep Learning Algorithms for Autonomous Guidance: Applications to Hypersonics and Planetary Landing Guidance 
1/22/2020Leonid Kunyansky,  MathematicsInverse problems arising in biomedical imaging*Joint session with Math
1/29/2020Pavlo Krokhmal, Systems & Industrial Engineering (host: Sheldon Deeny)Modeling and Optimization of Cascading Processes in Networks as Stochastic Processes on Multiscale Graphs 
2/5/2020Derek Lemoine, Economics (host: Patricia Puente)Optimal Policy in a Tipping Climate 
2/12/2020Sunder Sethuraman, Mathematics (host: Brady Gales)On some "random" directions*Joint session with Math
2/19/2020Shankar Venkataramani, MathematicsGeometry and Topology in the "real world"
(slides)
*Joint session with Math
2/26/2020Chris Henderson, MathematicsQualitative aspects of evolution PDE*Joint session with Math
3/4/2020Bo Guo, Hydrology / Atmospheric Sciences (host: Adrienne Kinney)Mathematical modeling of porous media flow for energy and environmental problems in Earth’s subsurface 
3/11/2020Spring break - no class  
3/18/2020Laura Condon, Hydrology / Atmospheric Sciences (host: Sarah Pungitore)Integrated hydrologic modeling at the continental scale; scientific advances and research needsZoom:  https://arizona.zoom.us/j/851715711
3/25/2020Larry Head, Systems & Industrial Engineering (host: Sheldon Deeny)V2X Mobility Applications: MMITSS, CV Work Zone, EVA, Cooperative SafetyZoom:
 https://arizona.zoom.us/j/851715711
4/1/2020Mihai Surdeanu, Computer Science (host: Teddy Broeren)Our Quest for Interpretable Natural Language ProcessingZoom:
 https://arizona.zoom.us/j/851715711
4/8/2020Ildar Gabitov, Mathematics (host: Will Gammel)Mathematics of  Novel Optical Materials*Joint session with Math Zoom:
https://arizona.zoom.us/j/277692365
4/15/2020Ronald Brieger, SociologyCANCELLED 
4/22/2020

Ibrahim Fatkullin, Mathematics

(host: Sarah Luca)

Revisiting Quadratic Approximations*Joint session with Math
Zoom:
https://arizona.zoom.us/j/277692365
4/29/2020

Jian Liu, Systems & Industrial Engineering

(host: Criston Hyett)

Characterizing Spatial-Temporal Patterns with Functional Data AnalyticsZoom:
 https://arizona.zoom.us/j/851715711
    

Schedule for Spring, 2019:
The class will meet on Wednesdays at 4:00pm in the Math Bldg., Room 514 unless otherwise indicated in the Notes

Dateprofessortalk titleabstractnotes
1/16/2019Calvin Zhang, MathematicsSome research topics in mathematical neuroscience and bio-fluid dynamicsabstract 
1/23/2019Misha Chertkov, Applied MathematicsInterpretable & Tractable Machine Learning for Natural  and Engineering SciencesabstractJoint session with Math (Room 501)
1/30/2019Eleonora Tubaldi, AMENonlinear Dynamics: a transversal analysis to investigate the world we live inabstract 
2/6/2019Robert Sims, MathematicsLocality in Quantum Spin SystemsabstractJoint session with Math (Room 501)
2/13/2019Pierre Deymier, MSETopological Acousticsabstract 
2/20/2019Anatoli Tumin, AMERole of boundary layer flow in design of hypersonic vehiclesabstract 
2/27/2019Mathieu Joerger, AMEMultisensory Safety Monitoring for Autonomous Vehiclesabstract 
3/13/2019Karl Glasner, MathematicsParticle and continuum models for self-organization and self-assemblyabstract 
3/20/2019Aaron Rosengren, AMEMathematical aspects of satellite orbit predictionabstract 
3/27/2019Joellen Russell, GeosciencesTBA  
4/3/2019Marek Rychlik, MathematicsFrom Perceptron to Deductron - a tour of Neural Nets and Optical Character Recognitionabstract 
4/10/2019Janek Wehr, MathematicsQuantum mechanics in the presence of disorderabstractJoint session with Math (Room 501)
4/17/2019Ibrahim Fatkullin, MathematicsMathematical models in condensed matter physicsabstractJoint session with Math (Room 501)
4/24/2019Ave Arellano, Hydrology & Atmo ScienceData Assimilation and Inverse Modeling of the Atmospheric Compositionabstract