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
DATE | PROFESSOR | TITLE & ABSTRACT | NOTES |
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8/30/23 | Marat Latypov, Materials Science & Engineering Student Host: Eric Chirtel | Graphs, transformers, and selected materials science problems | |
9/13/23 | Rick 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 |
9/20/23 | Joanna Masel, Ecology & Evolutionary Biology Student Host: Blake Bates | Beyond fitness: evolution in two dimensions | |
9/27/23 | Russell Witte, Medical Imaging Student Host: Stephanie Marsh | Transcranial Acoustoelectric Brain Imaging | |
10/4/23 | Pierre Deymier, Matherials Science & Engineering Student Host: Jake Callahan | New Frontiers of Sound Science and Technology Center | |
10/11/23 | Ingmar Riedel-Kruse, MCB Student Host: Jay Schaffer | Synthetic cell-cell adhesins and 4-bit logic for programming multicellular interface patterns | |
10/18/23 | Ardith El-Kareh, BIO5 Student Host: Heng Wu | Mathematical modeling of cancer growth and treatment | |
10/25/23 | Johan Rafelski, Physics Student Host: Ian Luff | Exploring the early universe | |
11/8/23 | Laura Miller, Mathematics Student Host: Novel Dey | Flows around some soft corals | Zoom only: https://arizona.zoom.us/j/2884139598 |
11/15/23 | Jan Wehr, Mathematics Student Host: Eric Sung | Stochastic differential equations and their applications | |
11/29/23 | Avelino 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
DATE | PROFESSOR | TITLE & ABSTRACT | NOTES |
---|
1/18/23 | Marek Rychlik, Mathematics Student host: Jacob Quintero | Teaching machines to read, and how it will save lives | Joint with Math graduate program |
1/25/23 | Kaitlin Kratter, Astronomy & Steward Observatory Student host: Marium Yousuf | From PDEs to the Solar System | Video |
2/1/23 | Ingmar Riedel, MCB Student host: Rebekah Saucier | **CANCELED** Synthetic cell-cell adhesins and 4-bit logic for programming multicellular interface patterns | |
2/8/23 | Eric Butcher, AME Student host: Rishi Pawar | Feedback Reshaping in the Delayed Kuramoto Model and Attitude Consensus Control | Video |
2/15/23 | Kyle Hanquist, AME Student host: Ilya Kuk | Importance of Modeling to Hypersonic Flight | Video |
2/22/23 | Chicheng Zhang, Computer Science Student host: Saheed Ganiyu | Multi-task bandit and reinforcement learning through heterogeneous feedback aggregation | Video |
3/15/23 | Eduardo Blanco, Computer Science Student host: Andrew Arnold | Natural Language Processing: Introduction and Ongoing Research Projects | |
3/22/23 | Alan Newell, Mathematics Math student will host | Patterns and their order parameters | Joint with Math graduate program |
3/29/23 | Ibrahim Fatkullin, Mathematics Math student will host | Topics in computational geometry and approximation theory | Video Joint with Math graduate program |
4/5/23 | Janek Wehr, Mathematics Student host: Christian Cooper | Motility-induced phase separation | Video Joint with Math graduate program |
4/12/23 | Laura Miller, Mathematics Math student will host | Flows around some soft corals | Video Joint with Math graduate program |
4/19/23 | Ardith 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
DATE | PROFESSOR | TITLE & ABSTRACT | NOTES |
---|
8/24/2022 | Misha Chertkov, Applied Mathematics Student host: | System 2 Applied Mathematics | Video |
8/31/22 | Ingmar Riedel, MCB Student host: Kevin Beck | Synthetic cell-cell adhesins and 4-bit logic for programming multicellular interface patterns | Video |
9/14/22 | Joanna 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 interventions | Video |
10/5/2022 | Guang Yao, MCB Student host: Edward Huynh | Modeling to identify the robust modulators of cellular sleep | Video |
10/12/2022 | Leonid Kunyansky, Mathematics Student host: Rishi Pawar | Inverse problems for partial differential equations, arising in imaging and medical tomography | Video |
10/19/2022 | Ardith El-Kareh, Bio5 Student host: Christian Cooper | Mathematical modeling of cancer growth and treatment | Video |
11/2/2022 | Russell Witte, Medical Imaging Student host: Rebekah Saucier | Mapping Current Densities in the Brain with Transcranial Acoustoelectric Imaging | Video |
11/9/2022 | Marat Latypov, MSE Student host: Marium Yousuf | Challenges and opportunities in computational thermodynamics of materials | |
11/16/2022 | Laura 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 jellyfish | Video |
11/30/2022 | Johann Rafelski, Physics Student host: Andrew Arnold | Particles and Plasmas in the Universe | Video |
Schedule for Spring, 2022:
All sessions held on Wednesdays at 4:00pm at ENR2 Room S395 or
date | professor | title & abstract | notes |
---|
1/12/2022 | No class this week | | |
1/19/22 | Marat Latypov, Materials Science & Engineering Student host: Teddy Meissner | Materials informatics of structural metals and alloys Video | |
1/26/2022 | Leonid 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 |
2/2/2022 | Jerry 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 |
2/9/2022 | Rick Michod, Ecology & Evolutionary Biology Student host: Sheila Whitman | Evolutionary Transitions in Individuality (background reading material will be sent via email) Video | Zoom only |
2/16/2022 | Kwang-Sung Jun, Computer Science Student host: Jackson Zariski | Recent Developments of Interactive Machine Learning using Bandit Algorithms Video | |
2/23/2022 | Ardith El-Kareh Fox, Physiology/ Microcirculation Student host: Aaron Larsen | Mathematical modeling of cancer treatment: cellular pharmacodynamics, the cell cycle, and tumor-immune interactions | |
3/2/2022 | Guang Yao, Molecular & Cellular Biology Student host: Akshita Sharma | Model and modulate the cellular state of silence Video | |
3/9/2022 | No class - Spring Break | | |
3/16/2022 | Travis Sawyer, Optical Sciences Student host: Sam Nasreldine | Advancing cancer imaging and diagnosis through mathematical modeling, optimization, and analysis Video | Zoom only |
3/23/2022 | Gregory Ditzler, Electrical & Computer Engineering Student host: Ben Stilin | Theory of Adaboost Video | |
3/30/2022 | Veaceslav Coropceanu, Chemistry & Biochemistry Student host: Riyaaz Ray Vachani | Multiscale modeling of electronic processes in organic systems Video | |
4/6/2022 | Hong Li, Chemistry & Biochemstrty Student host: Ana Fernandez-Sirgo | Electronic and Magnetic Properties of 2D Ï-Conjugated Covalent Organic Frameworks Video | |
4/13/2022 | Chris Henderson, Mathematics Student host: Ana Fernandez-Sirgo | Front propagation in reaction-diffusion equations | Jointly with Mathematics - In the Math Bldg, Room 501 |
4/20/2022 | Andrew Paek, Molecular & Cellular Biology Student host: Woody March-Steinman | Self-organization of two-dimensional colonic monolayers as a model system for pattern formation Video | |
4/27/22 | Misha 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 systems | Jointly with Mathematics - Zoom only @ https://arizona.zoom.us/j/87146526331 no password |
Schedule for Spring, 2021: All sessions held via zoom
date | professor | title & abstract | notes |
---|
1/13/2021 | Misha Chertkov, Applied Mathematics host: Robert Ferrando | Graphical Models of Pandemic | Video |
1/20/2021 | Marek Rychlik, Mathematics host: Dan Van Boxel | Sequence-to-sequence mapping problem and CTC | Video held jointly with Math graduate program |
1/27/2021 | Jan Wehr, Mathematics host: Fiona McCann | Emergent collective behavior of interacting microswimmers | Video held jointly with Math graduate program |
2/3/2021 | Leonid Kunyansky, Mathematics host: Jalen Cates | Inverse problems for partial differential equations, arising in imaging and medical tomography | Video held jointly with Math graduate program |
2/10/2021 | C.K. Chan, Astronomy & Steward Observatory host: Marta Sowinski | Imaging Black Hole at Event Horizon Scale-Interferometry Image Reconstructions | Video |
2/17/2021 | Bernard Parent, Aerospace & Mechanical Engineering host: Vianella Spaeth | Overcoming Stiffness in Simulating Plasma Flows | Video |
2/24/2021 | Laura Miller, Mathematics host: Dunia Fernandez | Using computational fluid dynamics to understand jellyfish swimming and feeding | Video held jointly with Math graduate program |
3/3/2021 | Ibrahim Fatkullin, Mathematics host: Matthew McCaskey | Statistical mechanics of graphs and partitions | Video held jointly with Math graduate program |
3/17/2021 | Kris Klein, Lunar & Planetary Sciences host: Erica Papke | Plasma Instabilities in the Young Solar Wind: Thermodynamics far from Equilibrium | Video |
3/24/2021 | Taqi Raza, Management Information Systems host: Alex Christensen | In(Security) and Un(Availability) of 4G/5G Networked Systems | |
3/31/2021 | Lise 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 |
4/7/2021 | Xubin Zeng, Hydrology & Atmospheric Sciences host: Alyssa Burritt | The Duet of Machine Learning and Conventional Modeling in Earth System Science: A Personal Journey | Video |
4/14/2021 | Xueying Tang, Mathematics host: Nick Bagley | Subtask Analysis of Process Data Through a Predictive Model | Video held jointly with Math graduate program |
4/28/2021 | Jianqiang Cheng, Systems & Industrial Engineering host: Bao Do | Computationally Efficient Reformulations and Approximations for Chance Constrained Optimization | Video |
5/5/2021 | Tonatiuh 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
DATE | PROFESSOR | TALK TITLE & ABSTRACT | NOTES |
---|
1/15/2020 | Roberto Furfaro, Systems & Industrial Engineering (host: Brian Toner) | Deep Learning Algorithms for Autonomous Guidance: Applications to Hypersonics and Planetary Landing Guidance | |
1/22/2020 | Leonid Kunyansky, Mathematics | Inverse problems arising in biomedical imaging | *Joint session with Math |
1/29/2020 | Pavlo Krokhmal, Systems & Industrial Engineering (host: Sheldon Deeny) | Modeling and Optimization of Cascading Processes in Networks as Stochastic Processes on Multiscale Graphs | |
2/5/2020 | Derek Lemoine, Economics (host: Patricia Puente) | Optimal Policy in a Tipping Climate | |
2/12/2020 | Sunder Sethuraman, Mathematics (host: Brady Gales) | On some "random" directions | *Joint session with Math |
2/19/2020 | Shankar Venkataramani, Mathematics | Geometry and Topology in the "real world" (slides) | *Joint session with Math |
2/26/2020 | Chris Henderson, Mathematics | Qualitative aspects of evolution PDE | *Joint session with Math |
3/4/2020 | Bo Guo, Hydrology / Atmospheric Sciences (host: Adrienne Kinney) | Mathematical modeling of porous media flow for energy and environmental problems in Earth’s subsurface | |
3/11/2020 | Spring break - no class | | |
3/18/2020 | Laura Condon, Hydrology / Atmospheric Sciences (host: Sarah Pungitore) | Integrated hydrologic modeling at the continental scale; scientific advances and research needs | Zoom: https://arizona.zoom.us/j/851715711 |
3/25/2020 | Larry Head, Systems & Industrial Engineering (host: Sheldon Deeny) | V2X Mobility Applications: MMITSS, CV Work Zone, EVA, Cooperative Safety | Zoom: https://arizona.zoom.us/j/851715711 |
4/1/2020 | Mihai Surdeanu, Computer Science (host: Teddy Broeren) | Our Quest for Interpretable Natural Language Processing | Zoom: https://arizona.zoom.us/j/851715711 |
4/8/2020 | Ildar Gabitov, Mathematics (host: Will Gammel) | Mathematics of Novel Optical Materials | *Joint session with Math Zoom: https://arizona.zoom.us/j/277692365 |
4/15/2020 | Ronald Brieger, Sociology | CANCELLED | |
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 Analytics | Zoom: 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
Date | professor | talk title | abstract | notes |
---|
1/16/2019 | Calvin Zhang, Mathematics | Some research topics in mathematical neuroscience and bio-fluid dynamics | abstract | |
1/23/2019 | Misha Chertkov, Applied Mathematics | Interpretable & Tractable Machine Learning for Natural and Engineering Sciences | abstract | Joint session with Math (Room 501) |
1/30/2019 | Eleonora Tubaldi, AME | Nonlinear Dynamics: a transversal analysis to investigate the world we live in | abstract | |
2/6/2019 | Robert Sims, Mathematics | Locality in Quantum Spin Systems | abstract | Joint session with Math (Room 501) |
2/13/2019 | Pierre Deymier, MSE | Topological Acoustics | abstract | |
2/20/2019 | Anatoli Tumin, AME | Role of boundary layer flow in design of hypersonic vehicles | abstract | |
2/27/2019 | Mathieu Joerger, AME | Multisensory Safety Monitoring for Autonomous Vehicles | abstract | |
3/13/2019 | Karl Glasner, Mathematics | Particle and continuum models for self-organization and self-assembly | abstract | |
3/20/2019 | Aaron Rosengren, AME | Mathematical aspects of satellite orbit prediction | abstract | |
3/27/2019 | Joellen Russell, Geosciences | TBA | | |
4/3/2019 | Marek Rychlik, Mathematics | From Perceptron to Deductron - a tour of Neural Nets and Optical Character Recognition | abstract | |
4/10/2019 | Janek Wehr, Mathematics | Quantum mechanics in the presence of disorder | abstract | Joint session with Math (Room 501) |
4/17/2019 | Ibrahim Fatkullin, Mathematics | Mathematical models in condensed matter physics | abstract | Joint session with Math (Room 501) |
4/24/2019 | Ave Arellano, Hydrology & Atmo Science | Data Assimilation and Inverse Modeling of the Atmospheric Composition | abstract | |