Alex Feingold - Personal Webpage

Information about my schedule in Fall 2023 and Spring 2024

I will be on sabbatical in Fall 2023 and Spring 2024 with no teaching duties and no scheduled office hours. If anyone wishes to see me, please send me an email to set up an appointment.

I will continue to supervise the two honor societies I advise, Phi Beta Kappa and Pi Mu Epsilon. Induction ceremonies for these will be conducted in person in Spring 2024.


Information about courses I taught in Spring 2023

In Spring 2023, I taught Advanced Linear Algebra, Math 404, MWF 11:20 - 12:50 in CW-331. The course webpage is here: Syllabus for Math 404 in Spring 2023.


Information about courses I taught in Fall 2022

I taught Linear Algebra, Math 304, Section 5, MWF 2:50 - 4:20 in WH-G002, and I was the course coordinator for all six sections. The course webpage for all sections is: Syllabus for Math 304 in Fall 2022. and the webpage for my Section 5 was: Syllabus for Math 304-5 in Fall 2022.

I taught Number Systems, Math 330, Section 3, MWF 11:20 - 12:50 in WH-100B. The course webpage for my Section 3 was: Syllabus for Math 330-3 in Fall 2022.


Information about courses I taught in Spring 2022

In Spring 2022, I taught Advanced Linear Algebra, Math 404, MWF 11:20 - 12:50 in SL-206. The course webpage is here: Syllabus for Math 404 in Spring 2022.


Information about courses I taught in Fall 2021

I taught Linear Algebra, Math 304, Section 3, MWF 11:20 - 12:50 in WH-G002, and I was the course coordinator for all six sections. The course webpage for all sections was: Syllabus for Math 304 in Fall 2021. and the webpage for my Section 3 was: Syllabus for Math 304-3 in Fall 2021.

I taught Math 507, Linear Algebra and Matrix Theory, in Fall 2021, which met MWF 9:40 - 10:40 in WH-100E. A link to the syllabus is here: Syllabus for Math 507 in Fall 2021.


Information about courses I taught in Spring 2021

I was the course coordinator for eight sections of Math 304, Linear Algebra, and I taught Section 6, which met MWF 1:10 - 2:40 online through Zoom. The course webpage was: Syllabus for Math 304 in Spring 2021. I posted links to Panopto recordings of my online lectures, as well as pdf files of my written lecture notes on the webpage for my section 6, along with a detailed syllabus and advice here: Syllabus for Math 304-6 in Spring 2021.


Information about courses I taught in Fall 2020

I taught Math 507, Linear Algebra and Matrix Theory, in Fall 2020, which met MWF 10:50-11:50 online using Zoom. A link to the syllabus is here: Syllabus for Math 507 in Fall 2020.

I also taught Math 603, Lie Algebras, a topics course in Fall 2020, which met MWF 3:30-4:30 online using Zoom. Registered students received the Zoom link by email. A link to the syllabus is here: Syllabus for Math 603 in Fall 2020.


RoundCube Mail

Here is a link to the Department of Mathematical Sciences RoundCube Mail Login.


Here is a link to my page containing a number of interesting animated gifs, some just fun, but some with real mathematical contents: My animated GIFs Gallery.


Mathematical Sculptures by Alex Feingold

I have a strong interest in sculptures, especially those related to mathematics, and I have made some in stone, bronze and wood. Here are links to webpages showing my work, and links to the artists who have inspired and influenced me. You can also follow the following link to an Artist's Statement Revised 2-1-2017 which I have written. Picture Here

  • In January, 2018, the Department of Mathematical Sciences provided me with a large glass display case in which I have set up a permanent exhibition of many of my mathematical sculptures. It is located in the lobby of Whitney Hall.
  • In December 2017, three of my sculptures were on exhibition at the Art Mission, Prospect Street in downtown Binghamton. Unfortunately, in early 2018 the Art Mission/Art Theater closed.
  • In March and April 2017, a large exhibition of many of my sculptures were on exhibition at the 5 Riverside Towers Art Gallery, 5 Riverside Drive in downtown Binghamton.
  • In December 2016, three of my sculptures were on exhibition at the Art Mission, Prospect Street in downtown Binghamton.
  • From December 3 - 30, 2015, two of my sculptures were on exhibition at the Art Mission, Prospect Street in downtown Binghamton.
  • From September 8 - October 29, 2015, some of my sculptures are on exhibition at the Broome County Public Library, on Court Street in downtown Binghamton.
  • Starting in Fall 2014 I have been working with a 3D graphics program, Rhino for Mac, to make a computer model of a figure 8 knot whose cross section is a triangle with concave sides (close to a hypocycloid) where the triangle rotates slightly as it goes around the curve so that when it comes back to the start, it has rotated just 120 degrees. That means there is only one edge and one surface, like a Mobius strip. I have made such sculptures in bronze before in a large size, most recently in Spring 2014, but my goal was to use 3D printing to make it accurately in a small size for jewelry. Pictures of the results, and of other 3D printed sculptures I designed, can be seen on my webpages: Sculptures Fall 2014 and Sculptures Spring 2015.
  • In summer 2014 I donated one of my bronze cast sculptures, a Mobius Trefoil Knot, to the Albert Einstein Institute (AEI), also called the Max Planck Institute for Gravitational Physics, in Potsdam/Golm, Germany. During my visit, June 1-16, 2015, there was a dedication ceremony, showing how it had been mounted on a specially made wooden pedestal, with a plaque showing the title of the piece, the donor, and a few words. There are some pictures on my webpage Sculptures Spring 2015 showing the mounted sculpture, and some of the dedication ceremony, conducted by Prof. Hermann Nicolai, my good friend, collaborator, and a director of AEI.
  • In Spring 2014 I made a bronze sculpture based on the logo of the Institut Hautes des Etudes Scientifique (IHES), Bures-Sur-Yvette, France, and donated it to IHES in graditude for the research support they gave me the last three summers. It was made by bending a 1/4" diameter bronze rod 96" long. A picture of the sculpture and a graphic of the logo on which it was based are shown on my webpage: Sculptures Spring 2014.
  • From December 3, 2014 - January 29, 2015, two of my sculptures were on exhibition at the Art Mission, Prospect Street in downtown Binghamton.
  • From September 4 - October 31, 2014, some of my sculptures were on exhibition at the Broome County Public Library on Court Street in downtown Binghamton.
  • From January 8 - February 7, 2014, two of my sculptures were on exhibition at the Art Mission, Prospect Street in downtown Binghamton.
  • From December 3 - 27, 2012, some of my sculptures were on exhibition at the Art Mission, Prospect Street in downtown Binghamton.
  • From June 1 - July 27, 2012, some of my sculptures were on exhibition at the Broome County Public Library on Court Street in downtown Binghamton.
  • One of my bronze sculptures from Fall 2010, a 12" diameter bronze torus (3,5) knot mounted on a bluestone base over a spherical mirror, was selected for the 2011 Roberson Regional Art Exhibition, and will be on display at the Roberson Museum and Science Center, located at 30 Front Street, Binghamton, NY, 13905, during July 9 - October 16, 2011.
  • From September 1-30, 2010, some of my sculptures were on exhibition at the Broome County Public Library on Court Street in downtown Binghamton.
  • From June 9-27, 2010, eleven of my kinetic sound sculptures will be on exhibition in the lobby of the Know Theater, located at 74 Carroll Street, Binghamton, NY. This exhibition was selected to compliment their current production, ``Black Comedy" by Peter Shaffer.
  • On September 4, 2009, 7 - 9 PM, in the lobby of the Downtown Campus of Binghamton University, I exhibited 19 of my sculptures as part of the First Friday Art Walk. The sculptures shown included many of my kinetic sound sculptures, some in the style of Harry Bertoia, both bronze and steel examples, and some others based on knot theory. This was my first solo exhibition, and I want to thank Jennifer Keegin, Associate Director of Campus Life for Campus Activities, for her help in arranging this exhibition, and Prof. Jim Stark for the use of his pedestals for the display of the artwork.
  • The 11th annual Bridges conference took place in the birthplace of M. C. Escher, Leeuwarden, The Netherlands, July 24-28, 2008, with a Mathematical Art Public Activity Day on July 29. The Bridges conferences are a literal bridge between mathematics, music, art, architecture and culture, and include an exhibition for 2D and 3D mathematical art. Four of my sculptures were submitted and accepted for the exhibition, but could not attending conference so I am sent pictures of them. This link takes you to the list of artists who participated in the exhibition, and includes links to pictures of their work: Bridges 2008 Artists. The following link to the conference website has many interesting links to previous conferences, and to mathematical art on the internet: Bridges Conference 2008.
  • Two of my kinetic sound sculptures were in the Members Exhibition Dec. 7-28, 2007 at the Art Mission in Binghamton, NY. Another bronze sculpture of mine is part of their Members Exhibition Dec. 5-28, 2008.
  • One of my sculptures was exhibited November 1 - 4, 2007, at the Center Gallery at the University of South Florida, Tampa, FL, in an exhibition ``Rhythm of Structure: Beyond the Mathematics", curated by John Sims as part of the conference Knotting Mathematics and Art: A Conference in Low Dimensional Topology and Mathematical Art. You can see pictures I took of the pieces in the exhibition, and pictures I took at the conference, by following the link: Knot Art Conference Pictures.
  • Four of my sculptures were exhibited May 3 - 24, 2007, at the Altered Esthetics Gallery in Minneapolis, MN, during their show ``Art For The Other Senses". A write-up about the exhibition which mentions my kinetic sound sculptures can be found at the following link: Altered Esthetics Exhibition in vita.mn story.
  • Kinetic Sound Sculpture inspired by the work of Harry Bertoia.
  • Stone and wood sculpture projects inspired by Helaman Ferguson.
  • Bronze metal sculptures made as castings of earlier works in other media and by welding.
  • Steel and plastic sculptures inspired by hyperbolic surfaces and the tensegrity sculptures of Kenneth Snelson and John Robinson.
  • I have also collected some beautiful examples of netsuke.
  • Sculptures from the Spring 2006 semester can be seen on the following webpage: Spring 2006 Sculptures.
  • Sculptures from the Summer of 2006 are shown on the following webpage: Summer 2006 Sculptures.
  • Sculptures from the Fall of 2006 are shown on the following webpage: Fall 2006 Sculptures.
  • Sculptures from the Spring 2007 semester can be seen on the following webpage: Spring 2007 Sculptures.
  • Sculptures from the Summer of 2007 are shown on the following webpage: Summer 2007 Sculptures.
  • Sculptures from the Spring 2008 semester can be seen on the following webpage: Spring 2008 Sculptures.
  • Sculptures from the Summer of 2008 are shown on the following webpage: Summer 2008 Sculptures.
  • Sculptures from the Fall of 2008 are shown on the following webpage: Fall 2008 Sculptures.
  • Sculptures from the Summer of 2009 are shown on the following webpage: Summer 2009 Sculptures.
  • Sculptures from the Fall of 2009 are shown on the following webpage: Fall 2009 Sculptures.
  • Sculptures from the Spring of 2010 are shown on the following webpage: Spring 2010 Sculptures.
  • Sculptures from the Fall of 2010 are shown on the following webpage: Fall 2010 Sculptures.
  • Sculptures from the Spring and Summer of 2011 are shown on the following webpage: Spring and Summer 2011 Sculptures.
  • Sculptures from the Spring and Summer of 2012 are shown on the following webpage: Spring 2012 Sculptures.
  • Sculptures from the Fall 2012 and Spring 2013 are shown on the following webpage: Fall 2012 and Spring 2013 Sculptures.
  • Sculptures from the Fall 2013 are shown on the following webpage: Fall 2013 Sculptures.
  • Sculptures from the Spring and Summer of 2014 are shown on the following webpage: Spring 2014 Sculptures.
  • Sculptures from the Fall 2014 are shown on the following webpage: Fall 2014 Sculptures.
  • Sculptures from the Spring 2015 are shown on the following webpage: Spring 2015 Sculptures.
  • Sculptures from the Fall 2015 are shown on the following webpage: Fall 2015 Sculptures.
  • Sculptures from the Spring and summer 2016 are shown on the following webpage: Spring 2016 Sculptures.
  • Sculptures from the Fall 2016 are shown on the following webpage: Fall 2016 Sculptures.
  • Sculptures from the Spring 2017 are shown on the following webpage: Spring 2017 Sculptures.
  • Sculptures from the Fall 2017 are shown on the following webpage: Fall 2017 Sculptures.
  • Sculptures from the Spring 2018 are shown on the following webpage: Spring 2018 Sculptures.
  • Sculptures from the Fall 2018 are shown on the following webpage: Fall 2018 Sculptures.
  • Sculptures from the Spring 2019 are shown on the following webpage: Spring 2019 Sculptures.
  • Sculptures from the Fall 2019 are shown on the following webpage: Fall 2019 Sculptures.
  • Sculptures from the Spring and Summer 2020 are shown on the following webpage: Spring and Summer 2020 Sculptures.
  • Sculptures from the Fall 2020 are shown on the following webpage: Fall 2020 Sculptures.
  • Sculptures from the Spring and Summer 2021 are shown on the following webpage: Spring and Summer 2021 Sculptures.
  • Sculptures from the Spring and Summer 2022 are shown on the following webpage: Spring and Summer 2022 Sculptures.
  • Sculptures from the Fall 2022 are shown on the following webpage: Fall 2022 Sculptures.
  • Sculptures from the Spring and Summer 2023 are shown on the following webpage: Spring and Summer 2023 Sculptures.


  • Phi Beta Kappa Picture Here

    I am president of our local chapter of Phi Beta Kappa, Psi of New York. Phi Beta Kappa is the oldest and most prestigious liberal arts honor society in the country. The link above will take you to our webpage which has information about the history of the society, our selection procedures, and lists of students who qualified in recent years.



    Pi Mu Epsilon

    I am the Permanent Faculty Correspondent of our local chapter of Pi Mu Epsilon, the Alpha Omicron of New York, the National Mathematical Honor Society. For information about our newly formed chapter, follow the link above.



    Ice Skating

    I had been a serious ice skater (figure skating, not hockey!) since 1968. I was a member of United States Figure Skating, and for a time I was a member of the Professional Skaters Association. From 1979 until 2022, I was a member of the Binghamton Figure Skating Club. For many years I served as President of the BFSC, sometimes as Vice-President or on the Board of Governors, and I have been a volunteer instructor in the Learn-to-Skate USA program run by the club. In March 2020 the SUNY Broome Ice Center, where the BFSC skated, was closed due to COVID, so I did not skate for about 18 months. Upon reopening of that rink, I tried to skate again, but found I had lost a lot of my stamina and balance. But I also found that my feet could not tolerate being in the boots for more than 40 minutes because of a nerve problem. That time grew shorter during September 2021, and on Oct. 9, 2021, I could only skate for 15 minutes, so I realized it was not worth trying anymore. I hoped that the problem would go away by itself, but apparently could only be treated by a nerve cutting surgery. Other issues had caused me to stop serving as BFSC president or officer, so in April 2022 I resigned my membership in the club. After 54 years of figure skating, I decided to just stop. The sport has been a huge part of my life, affording me great opportunities for personal growth, physical and mental challenges, and wonderful friendships. The link in the heading above this paragraph goes to a webpage where I have put my skating resume and some pictures.



    Curriculum Vitae:

    Follow the indicated link to my Curriculum Vitae.


    Research Interests:

    Kac-Moody Lie Algebras and their Representations, Vertex Operator Algebras, Conformal Field Theory, Fusion Rules, Hyperbolic Weyl Groups.

    Selected Publications: