Proposals
Below are some proposals for talks from the past (and current). By clicking on the ID number, more details are shown. By default, these are sorted chronologically (recent first) and by then by last name. The data can be sorted by alternate means by using the links at the top right, each allowing ascending or descending orders.
Displaying 21-40 of 471 results.
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ID:
556
Year: 2021
Name: vcjjtmd segBbsCPnCBGrDu
Institution: YAYqKBPnZmPx
Subject area(s): XNzkISkaiyjnQUK
Title of Talk: COueJFEdUUL
Abstract: HKmogj xcoeacgjbesp, [url=http://hqopdzcfoapy.com/]hqopdzcfoapy[/url], [link=http://lbcnhhannaes.com/]lbcnhhannaes[/link], http://vpowzbzxnjis.com/
Year: 2021
Name: vcjjtmd segBbsCPnCBGrDu
Institution: YAYqKBPnZmPx
Subject area(s): XNzkISkaiyjnQUK
Title of Talk: COueJFEdUUL
Abstract: HKmogj xcoeacgjbesp, [url=http://hqopdzcfoapy.com/]hqopdzcfoapy[/url], [link=http://lbcnhhannaes.com/]lbcnhhannaes[/link], http://vpowzbzxnjis.com/
ID:
555
Year: 2019
Name: Matt Rissler
Institution: Loras College
Subject area(s):
Title of Talk: The Math of Data Science
Abstract: Data Science is one of the buzzwordiest fields right now. In this talk, I will try to define Data Science out of my work implementing it as an undergraduate major at Loras. Then I will go on to talk about where Mathematics, both from the undergraduate and graduate curricula, is integral to the development and perhaps practice of Data Science.
Year: 2019
Name: Matt Rissler
Institution: Loras College
Subject area(s):
Title of Talk: The Math of Data Science
Abstract: Data Science is one of the buzzwordiest fields right now. In this talk, I will try to define Data Science out of my work implementing it as an undergraduate major at Loras. Then I will go on to talk about where Mathematics, both from the undergraduate and graduate curricula, is integral to the development and perhaps practice of Data Science.
ID:
554
Year: 2019
Name: Susan Crook
Institution: Loras College
Subject area(s):
Title of Talk: Why Aren't We All Using IBL?
Abstract: Inquiry-based learning has been a buzzword in college mathematics teaching circles for years. By having students have more ownership over their own learning, IBL has been shown to begin closing the achievement gap for minority students. Anecdotal evidence of its success abounds…so, with all this positive data, why isn't every math classroom taught using IBL methods? In this interactive talk, we'll discuss some of the common obstacles and challenges professors experience when they use IBL and brainstorm some ways to overcome these issues.
Year: 2019
Name: Susan Crook
Institution: Loras College
Subject area(s):
Title of Talk: Why Aren't We All Using IBL?
Abstract: Inquiry-based learning has been a buzzword in college mathematics teaching circles for years. By having students have more ownership over their own learning, IBL has been shown to begin closing the achievement gap for minority students. Anecdotal evidence of its success abounds…so, with all this positive data, why isn't every math classroom taught using IBL methods? In this interactive talk, we'll discuss some of the common obstacles and challenges professors experience when they use IBL and brainstorm some ways to overcome these issues.
ID:
551
Year: 2019
Name: Angela Kohlhaas
Institution: Loras College
Subject area(s):
Title of Talk: Iowa Mathematics Pathway Forum
Abstract: This fall, members of the Iowa Department of Education started a statewide conversation with the goal of improving student success in transitioning from high school to college math, with a focus on low income students and underrepresented minorities. This conversation is taking place through a series of monthly online discussions connecting representatives from various professional Iowa math organizations across high schools, community colleges, Regents institutions, and private four-year colleges and universities. As our representative from the Iowa MAA, I will share the background for this initiative as well as our current progress defining challenges and brainstorming solutions. I will also invite discussion and continued brainstorming from the audience.
Year: 2019
Name: Angela Kohlhaas
Institution: Loras College
Subject area(s):
Title of Talk: Iowa Mathematics Pathway Forum
Abstract: This fall, members of the Iowa Department of Education started a statewide conversation with the goal of improving student success in transitioning from high school to college math, with a focus on low income students and underrepresented minorities. This conversation is taking place through a series of monthly online discussions connecting representatives from various professional Iowa math organizations across high schools, community colleges, Regents institutions, and private four-year colleges and universities. As our representative from the Iowa MAA, I will share the background for this initiative as well as our current progress defining challenges and brainstorming solutions. I will also invite discussion and continued brainstorming from the audience.
ID:
550
Year: 2019
Name: Carol Schumacher
Institution: Kenyon College
Subject area(s):
Title of Talk: Fast Forward, Slow Motion
Abstract: A graphical link between fast and slow time scales: The world is shaped by interactions between things that develop slowly over time and things that happen very rapidly. Picture a garden. A bud takes hours to open up into a flower. A bee takes seconds to fly in, pollinate the flower and then depart. It can be difficult to fully consider both fast and slow time scales at the same time---yet it is the interaction between these events that makes the garden work. Mathematicians have developed a number of techniques for analyzing systems that include both fast and slow time scales. We will consider a graphical method for predicting what happens when fast and slow interact.
Year: 2019
Name: Carol Schumacher
Institution: Kenyon College
Subject area(s):
Title of Talk: Fast Forward, Slow Motion
Abstract: A graphical link between fast and slow time scales: The world is shaped by interactions between things that develop slowly over time and things that happen very rapidly. Picture a garden. A bud takes hours to open up into a flower. A bee takes seconds to fly in, pollinate the flower and then depart. It can be difficult to fully consider both fast and slow time scales at the same time---yet it is the interaction between these events that makes the garden work. Mathematicians have developed a number of techniques for analyzing systems that include both fast and slow time scales. We will consider a graphical method for predicting what happens when fast and slow interact.
ID:
549
Year: 2019
Name: Carol Schumacher
Institution: Kenyon College
Subject area(s):
Title of Talk: All Tangled Up
Abstract: Toys have inspired a lot of interesting mathematics. The SpirographTM helps children create lovely curves by rolling a small circle around the inside or the outside of a larger circle. These curves are called hypotrochoids and epitrochoids and are special cases of mathematical curves called roulettes. A roulette is created by following a point attached to one curve as that curve “rolls” along another curve. Another children’s toy, the TangleTM, inspired some students and me to investigate roulettes that we get by rolling a circle around the inside of a “tangle curve,” which is made up of quarter circles. The resulting roulettes we named “tangloids.” In this talk, we will look at many pretty pictures and animations of these curves and discuss some of their interesting properties. As a bonus, I will discuss the nature of generalization, which is very important in mathematics.
Year: 2019
Name: Carol Schumacher
Institution: Kenyon College
Subject area(s):
Title of Talk: All Tangled Up
Abstract: Toys have inspired a lot of interesting mathematics. The SpirographTM helps children create lovely curves by rolling a small circle around the inside or the outside of a larger circle. These curves are called hypotrochoids and epitrochoids and are special cases of mathematical curves called roulettes. A roulette is created by following a point attached to one curve as that curve “rolls” along another curve. Another children’s toy, the TangleTM, inspired some students and me to investigate roulettes that we get by rolling a circle around the inside of a “tangle curve,” which is made up of quarter circles. The resulting roulettes we named “tangloids.” In this talk, we will look at many pretty pictures and animations of these curves and discuss some of their interesting properties. As a bonus, I will discuss the nature of generalization, which is very important in mathematics.
ID:
548
Year: 2019
Name: Christian Roettger
Institution: Iowa State University
Subject area(s):
Title of Talk: Balanced Numbers and Balanced Primes
Abstract: Balanced numbers are odd natural numbers n which have an equal number of 0s and 1s in the periodic part of the base-2 representation of their reciprocal 1/n. We present some insights about balanced numbers that use just elementary Number Theory like the Quadratic Reciprocity Theorem. In particular, if a prime p is congruent to 3 or 5 modulo 8, then p is balanced. If a prime p is congruent to 7 modulo 8, then p is not balanced. All powers of p are balanced iff p is. The case of primes congruent to 1 modulo 8 is much more difficult. Hasse made a breakthrough in 1966, showing that the balanced primes have a Dirichlet density of 17/24. We have refined Hasse's result slightly. Another question is how big is the set of balanced numbers (not only primes) less than x? Using a method due to Landau, we can show that this is bounded above by C x/log^(1/4) (x) and below by D x / log^(3/4)(x), with constants C, D > 0. I solemnly promise that I won't go into the gory detail, only highlight the beautiful and accessible parts of the subject. The second part of the talk is joint work with Joshua Zelinsky.
Year: 2019
Name: Christian Roettger
Institution: Iowa State University
Subject area(s):
Title of Talk: Balanced Numbers and Balanced Primes
Abstract: Balanced numbers are odd natural numbers n which have an equal number of 0s and 1s in the periodic part of the base-2 representation of their reciprocal 1/n. We present some insights about balanced numbers that use just elementary Number Theory like the Quadratic Reciprocity Theorem. In particular, if a prime p is congruent to 3 or 5 modulo 8, then p is balanced. If a prime p is congruent to 7 modulo 8, then p is not balanced. All powers of p are balanced iff p is. The case of primes congruent to 1 modulo 8 is much more difficult. Hasse made a breakthrough in 1966, showing that the balanced primes have a Dirichlet density of 17/24. We have refined Hasse's result slightly. Another question is how big is the set of balanced numbers (not only primes) less than x? Using a method due to Landau, we can show that this is bounded above by C x/log^(1/4) (x) and below by D x / log^(3/4)(x), with constants C, D > 0. I solemnly promise that I won't go into the gory detail, only highlight the beautiful and accessible parts of the subject. The second part of the talk is joint work with Joshua Zelinsky.
ID:
547
Year: 2019
Name: Patrick Rault
Institution: University of Nebraska at Omaha
Subject area(s):
Title of Talk: A Dozen National and Regional Mini-grant opportunities for Undergraduate Faculty
Abstract: A wide range of mini-grants are available to support both teaching and research. The Inquiry-Based Learning Iowa-Nebraska Community (IBLINC) is now offering mini-grants for a wide range of peer-collaboration activities ranging from attending events to collaborating on course materials. This builds on a national momentum to offer mini-grants from the MAA for a wide variety of teaching activities, from CURM for an academic-year REU-style project with our students, and from AIM for a weeklong research retreat for your faculty team. While most of these programs are grant funded, the MAA’s Project NExT program has raised substantial continuing funds to provide professional development and a supportive community for new faculty. Join us to hear about a dozen such funding sources, learn what the aforementioned acronyms stand for, or share your own experiences.
Year: 2019
Name: Patrick Rault
Institution: University of Nebraska at Omaha
Subject area(s):
Title of Talk: A Dozen National and Regional Mini-grant opportunities for Undergraduate Faculty
Abstract: A wide range of mini-grants are available to support both teaching and research. The Inquiry-Based Learning Iowa-Nebraska Community (IBLINC) is now offering mini-grants for a wide range of peer-collaboration activities ranging from attending events to collaborating on course materials. This builds on a national momentum to offer mini-grants from the MAA for a wide variety of teaching activities, from CURM for an academic-year REU-style project with our students, and from AIM for a weeklong research retreat for your faculty team. While most of these programs are grant funded, the MAA’s Project NExT program has raised substantial continuing funds to provide professional development and a supportive community for new faculty. Join us to hear about a dozen such funding sources, learn what the aforementioned acronyms stand for, or share your own experiences.
ID:
546
Year: 2019
Name: Melanie King
Institution: The University of Iowa
Subject area(s): Math Education
Title of Talk: Introducing College Algebra Students to the IBL Learning Style
Abstract: Learning driven by student curiosity is more difficult in a setting such as College Algebra, where students typically have lower moral for learning math effectively. The purpose of this talk is to propose a general guideline for understanding the problems of students in College Algebra and address these problems using some IBL techniques. Here are some noted problems framed as student responses: "I hate/am not good at math”, “Can I cancel these?”, "I don't know how to start this", and "This problem wasn't on the homework/practice quiz, so I didn't know how to do it on the quiz/test". I will suggest learning techniques to help students tap into their curiosities without relying solely on teacher intervention to solve problems as is true to the IBL style of learning. I will also discuss some intermediary results of implementing some strategies in a blackboard section of College Algebra in Fall 2019 at the University of Iowa.
Year: 2019
Name: Melanie King
Institution: The University of Iowa
Subject area(s): Math Education
Title of Talk: Introducing College Algebra Students to the IBL Learning Style
Abstract: Learning driven by student curiosity is more difficult in a setting such as College Algebra, where students typically have lower moral for learning math effectively. The purpose of this talk is to propose a general guideline for understanding the problems of students in College Algebra and address these problems using some IBL techniques. Here are some noted problems framed as student responses: "I hate/am not good at math”, “Can I cancel these?”, "I don't know how to start this", and "This problem wasn't on the homework/practice quiz, so I didn't know how to do it on the quiz/test". I will suggest learning techniques to help students tap into their curiosities without relying solely on teacher intervention to solve problems as is true to the IBL style of learning. I will also discuss some intermediary results of implementing some strategies in a blackboard section of College Algebra in Fall 2019 at the University of Iowa.
ID:
545
Year: 2019
Name: Eric Hart
Institution: Grand View University
Subject area(s):
Title of Talk: Developmental Mathematics and the Transitions from High School to College to Career
Abstract: So-called developmental mathematics courses have become a significant barrier to students' timely and successful completion of college. Too many students are placed into these courses, the failure rate is high, and there is too much overlap with secondary school courses. These courses have not been successful in their traditional role of remediating students’ algebra skills, they are often redundant with respect to the high school courses and tests students have taken, and they are not “developmental” in that they have not been successful in aligning with students’ needs in their chosen career paths or in developing skills for quantitative literacy in the modern world. An examination of the problem of developmental mathematics leads inevitably to a consideration of the broader context of transitions into and out of post-secondary education, as captured by two pressing questions: Are high school students college ready? Are college students career ready? There are three logical components of this broad context of college and career readiness: Mathematics transition from high school to college College developmental/remedial/QR mathematics courses Preparation for adult life, work, career After outlining some recommendations and references for each of these components, we will take up the challenge of designing a "robust" college developmental mathematics course.
Year: 2019
Name: Eric Hart
Institution: Grand View University
Subject area(s):
Title of Talk: Developmental Mathematics and the Transitions from High School to College to Career
Abstract: So-called developmental mathematics courses have become a significant barrier to students' timely and successful completion of college. Too many students are placed into these courses, the failure rate is high, and there is too much overlap with secondary school courses. These courses have not been successful in their traditional role of remediating students’ algebra skills, they are often redundant with respect to the high school courses and tests students have taken, and they are not “developmental” in that they have not been successful in aligning with students’ needs in their chosen career paths or in developing skills for quantitative literacy in the modern world. An examination of the problem of developmental mathematics leads inevitably to a consideration of the broader context of transitions into and out of post-secondary education, as captured by two pressing questions: Are high school students college ready? Are college students career ready? There are three logical components of this broad context of college and career readiness: Mathematics transition from high school to college College developmental/remedial/QR mathematics courses Preparation for adult life, work, career After outlining some recommendations and references for each of these components, we will take up the challenge of designing a "robust" college developmental mathematics course.
ID:
543
Year: 2019
Name: Valorie Zonnefeld
Institution: Dordt University
Subject area(s): Pedagogy of Mathematics
Title of Talk: Classroom Environments that Nurture a Growth Mindset
Abstract: Carol Dweck and Jo Boaler's landmark research regarding the importance of a growth mindset for learning and specifically mathematics is a game changer for professors and teachers. Learn what a growth mindset is and how to foster it in your classroom.
Year: 2019
Name: Valorie Zonnefeld
Institution: Dordt University
Subject area(s): Pedagogy of Mathematics
Title of Talk: Classroom Environments that Nurture a Growth Mindset
Abstract: Carol Dweck and Jo Boaler's landmark research regarding the importance of a growth mindset for learning and specifically mathematics is a game changer for professors and teachers. Learn what a growth mindset is and how to foster it in your classroom.
ID:
542
Year: 2019
Name: Michael Loper
Institution: University of Minnesota
Subject area(s):
Title of Talk: Combating Math Anxiety Through Mastery Based Testing
Abstract: Math anxiety is a major deterrent to learning in College Algebra. One way to reduce test anxiety is through mastery based testing. Another way is by aiming for a higher average exam score by eliminating the most difficult questions on an exam. In this talk I will discuss how the University of Minnesota implemented both of these techniques while instructing College Algebra. I will also explain how the use of optional “A-work” helped to distinguish top scoring students’ grades.
Year: 2019
Name: Michael Loper
Institution: University of Minnesota
Subject area(s):
Title of Talk: Combating Math Anxiety Through Mastery Based Testing
Abstract: Math anxiety is a major deterrent to learning in College Algebra. One way to reduce test anxiety is through mastery based testing. Another way is by aiming for a higher average exam score by eliminating the most difficult questions on an exam. In this talk I will discuss how the University of Minnesota implemented both of these techniques while instructing College Algebra. I will also explain how the use of optional “A-work” helped to distinguish top scoring students’ grades.
ID:
541
Year: 2019
Name: Christina Pospisil
Institution: University of Massachusetts Boston
Subject area(s):
Title of Talk: Generalization Theory for Linear Algebra I: An Embedding Algorithm and an appropriate Inverse for non-injective mappings in one dimension
Abstract: An algorithm for multiplying and adding matrices regardless of dimensions via an embedding is presented. An equivalent embedding for a general determinant theory is also investigated (Part I: Appropriate Inverses for non-injective mappings in one dimension are presented). In future work there will be applications to physics and other natural sciences be explored.
Year: 2019
Name: Christina Pospisil
Institution: University of Massachusetts Boston
Subject area(s):
Title of Talk: Generalization Theory for Linear Algebra I: An Embedding Algorithm and an appropriate Inverse for non-injective mappings in one dimension
Abstract: An algorithm for multiplying and adding matrices regardless of dimensions via an embedding is presented. An equivalent embedding for a general determinant theory is also investigated (Part I: Appropriate Inverses for non-injective mappings in one dimension are presented). In future work there will be applications to physics and other natural sciences be explored.
ID:
540
Year: 2019
Name: Katherine Vance
Institution: Simpson College
Subject area(s): Topology; Knot Theory; Statistics
Title of Talk: Random Grid Diagrams
Abstract: This is joint work with undergraduate students Max Folkers, Eli Marriott, and Miguel Sanchez. We look at the distribution of the number of components in the population of knots and links represented by grid diagrams. We write programs in the R programming language to generate random samples of grid diagrams. We analyze the number of components and splittability of the links in these samples using statistical methods to gain a better understanding of the population of grid diagrams and the knots and links they represent.
Year: 2019
Name: Katherine Vance
Institution: Simpson College
Subject area(s): Topology; Knot Theory; Statistics
Title of Talk: Random Grid Diagrams
Abstract: This is joint work with undergraduate students Max Folkers, Eli Marriott, and Miguel Sanchez. We look at the distribution of the number of components in the population of knots and links represented by grid diagrams. We write programs in the R programming language to generate random samples of grid diagrams. We analyze the number of components and splittability of the links in these samples using statistical methods to gain a better understanding of the population of grid diagrams and the knots and links they represent.
ID:
539
Year: 2019
Name: Theron Hitchman
Institution: University of Northern Iowa
Subject area(s):
Title of Talk: Report from the MAA Congress
Abstract: I will share information from the MAA congress meeting at the most recent MathFest.
Year: 2019
Name: Theron Hitchman
Institution: University of Northern Iowa
Subject area(s):
Title of Talk: Report from the MAA Congress
Abstract: I will share information from the MAA congress meeting at the most recent MathFest.
ID:
538
Year: 2019
Name: William Lindsey
Institution: Dordt University
Subject area(s):
Title of Talk: Epidemic! Role-Playing in Introductory Statistics
Abstract: How can we use our statistical knowledge to help save (or at least, inform) the world? I will describe a day from my Introductory Statistics class where students were "hired" by the CDC to help answer questions about a fictional epidemic that was plaguing the Atlanta area.
Year: 2019
Name: William Lindsey
Institution: Dordt University
Subject area(s):
Title of Talk: Epidemic! Role-Playing in Introductory Statistics
Abstract: How can we use our statistical knowledge to help save (or at least, inform) the world? I will describe a day from my Introductory Statistics class where students were "hired" by the CDC to help answer questions about a fictional epidemic that was plaguing the Atlanta area.
ID:
537
Year: 2019
Name: Mariah Birgen
Institution: Wartburg College
Subject area(s): Recreational Mathematics
Title of Talk: Sioux Center Julia Robinson Mathematics Festival
Abstract: Julia Robinson Mathematics Festival supports locally organized events that inspire K - 12 students to think critically and to explore the richness and beauty of mathematics through collaborative, creative problem-solving. Our Festivals engage many types of students, including those who don’t enjoy competition or working under time pressure. A Festival is also a community event, bringing together institutions and organizations as their constituents celebrate mathematics.
Year: 2019
Name: Mariah Birgen
Institution: Wartburg College
Subject area(s): Recreational Mathematics
Title of Talk: Sioux Center Julia Robinson Mathematics Festival
Abstract: Julia Robinson Mathematics Festival supports locally organized events that inspire K - 12 students to think critically and to explore the richness and beauty of mathematics through collaborative, creative problem-solving. Our Festivals engage many types of students, including those who don’t enjoy competition or working under time pressure. A Festival is also a community event, bringing together institutions and organizations as their constituents celebrate mathematics.
ID:
536
Year: 2019
Name: Mariah Birgen
Institution: Wartburg College
Subject area(s): Applied Mathematics
Title of Talk: Caucus Mathematics
Abstract: Welcome to Iowa. One of the best sources for cool, applied math problems comes from the Iowa Democratic Caucuses. Of course, every four years the Democratic Party fiddles with the rules. I will talk about ranked elections, viability, and apportionment. The last portion of the talk will discuss some of this year’s rule changes and how they affect the calculations.
Year: 2019
Name: Mariah Birgen
Institution: Wartburg College
Subject area(s): Applied Mathematics
Title of Talk: Caucus Mathematics
Abstract: Welcome to Iowa. One of the best sources for cool, applied math problems comes from the Iowa Democratic Caucuses. Of course, every four years the Democratic Party fiddles with the rules. I will talk about ranked elections, viability, and apportionment. The last portion of the talk will discuss some of this year’s rule changes and how they affect the calculations.
ID:
533
Year: 2019
Name: Lorenzo Riva
Institution: Creighton University
Subject area(s): Analysis, PDEs
Title of Talk: Low Regularity Non-$L^2(\mathbb{R}^n)$ Local Solutions to the gMHD-$\alpha$ system
Abstract: The Magneto-Hydrodynamic (MHD) system of equations governs viscous fluids subject to a magnetic field and is derived via a coupling of the Navier-Stokes equations and Maxwell's equations. It has recently become common to study generalizations of fluids-based differential equations. Here we consider the generalized Magneto-Hydrodynamic alpha (gMHD-$\alpha$) system, which differs from the original MHD system by the presence of additional non-linear terms (indexed by the choice of $\alpha$) and replacing the Laplace operators in the equations by more general Fourier multipliers with symbols of the form $-\vert \xi \vert^\gamma / g(\vert \xi \vert)$. In \cite{penn1}, the author considered the problem with initial data in Sobolev spaces of the form $H^{s,2}(\mathbb{R}^n)$ with $n \geq 3$. Here we consider the problem with initial data in $H^{s,p}(\mathbb{R}^n)$ with $n \geq 3$ and $p > 2$, with the goal of minimizing the regularity required to obtain unique existence results.
Year: 2019
Name: Lorenzo Riva
Institution: Creighton University
Subject area(s): Analysis, PDEs
Title of Talk: Low Regularity Non-$L^2(\mathbb{R}^n)$ Local Solutions to the gMHD-$\alpha$ system
Abstract: The Magneto-Hydrodynamic (MHD) system of equations governs viscous fluids subject to a magnetic field and is derived via a coupling of the Navier-Stokes equations and Maxwell's equations. It has recently become common to study generalizations of fluids-based differential equations. Here we consider the generalized Magneto-Hydrodynamic alpha (gMHD-$\alpha$) system, which differs from the original MHD system by the presence of additional non-linear terms (indexed by the choice of $\alpha$) and replacing the Laplace operators in the equations by more general Fourier multipliers with symbols of the form $-\vert \xi \vert^\gamma / g(\vert \xi \vert)$. In \cite{penn1}, the author considered the problem with initial data in Sobolev spaces of the form $H^{s,2}(\mathbb{R}^n)$ with $n \geq 3$. Here we consider the problem with initial data in $H^{s,p}(\mathbb{R}^n)$ with $n \geq 3$ and $p > 2$, with the goal of minimizing the regularity required to obtain unique existence results.
ID:
532
Year: 2019
Name: Michael Rieck
Institution: Drake University
Subject area(s): Elliptic curves, algebraic geometry, projective geometry
Title of Talk: Elliptic Curves and the Perspective 3-Point Problem
Abstract: The Perspective-Three-Point Problem (P3P), a camera tracking problem, is solved by first focusing on determining the directions of the lines through pairs of control points, relative to the camera, rather than the distances from the camera to the control points. The analysis of this produces an efficient, accurate and reasonably simple P3P solver, which has been compared with a state-of-the-art P3P solver. However, the principal value of the present work is not in introducing yet another P3P solver, but lies rather in the discovery of an intimate connection between the P3P problem and a special family of elliptic curves that includes curves utilized in cryptography. This holds the potential for further advances in a number of directions. To make this connection, an interesting spherical analogue of an ancient “sliding” problem is stated and solved.
Year: 2019
Name: Michael Rieck
Institution: Drake University
Subject area(s): Elliptic curves, algebraic geometry, projective geometry
Title of Talk: Elliptic Curves and the Perspective 3-Point Problem
Abstract: The Perspective-Three-Point Problem (P3P), a camera tracking problem, is solved by first focusing on determining the directions of the lines through pairs of control points, relative to the camera, rather than the distances from the camera to the control points. The analysis of this produces an efficient, accurate and reasonably simple P3P solver, which has been compared with a state-of-the-art P3P solver. However, the principal value of the present work is not in introducing yet another P3P solver, but lies rather in the discovery of an intimate connection between the P3P problem and a special family of elliptic curves that includes curves utilized in cryptography. This holds the potential for further advances in a number of directions. To make this connection, an interesting spherical analogue of an ancient “sliding” problem is stated and solved.