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Publications

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  • All HBS Web  (5,288)
    • People  (41)
    • News  (1,113)
    • Research  (2,972)
    • Events  (20)
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  • 15 Apr 2025
  • News

The Nuqul Group Works to Preserve Its Founder’s Legacy

  • 26 Nov 2024
  • News

How Entertainment Lawyer John Branca Negotiated for the Beatles Songs Catalog

  • 02 Jan 2024
  • News

Should Businesses Take a Stand on Societal Issues?

  • 01 Aug 2023
  • News

Can Business Transform Primary Health Care Across Africa?

  • 01 Mar 2025
  • News

On The Case: The Base Factor

In her research as a marketing modeler, Professor Eva Ascarza focuses on understanding customers—and predicting, in particular, who will be a good one and how best to retain them. Without customers, obviously, there is no business. That could also be the tagline for... View Details
Keywords: Jen McFarland Flint
  • 2021
  • Article

Prisoners, Rooms, and Lightswitches

By: Daniel M. Kane and Scott Duke Kominers
We examine a new variant of the classic prisoners and lightswitches puzzle: A warden leads his n prisoners in and out of r rooms, one at a time, in some order, with each prisoner eventually visiting every room an arbitrarily large number of times. The... View Details
Keywords: Mathematical Methods
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Kane, Daniel M., and Scott Duke Kominers. "Prisoners, Rooms, and Lightswitches." Electronic Journal of Combinatorics 28, no. 1 (2021).
  • 2019
  • Article

Configurations of Extremal Type II Codes via Harmonic Weight Enumerators

By: Noam D. Elkies and Scott Duke Kominers
We prove configuration results for extremal Type II codes, analogous to the configuration results of Ozeki and of the second author for extremal Type II lattices. Specifically, we show that for n ∈{8,24,32,48,56,72,96} every extremal Type II code of length n is... View Details
Keywords: Mathematical Methods
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Elkies, Noam D., and Scott Duke Kominers. "Configurations of Extremal Type II Codes via Harmonic Weight Enumerators." Journal de Théorie des Nombres de Bordeaux 31, no. 3 (2019): 679–688.
  • Article

A New Proof of Serre's Homological Characterization of Regular Local Rings

By: Ravi Jagadeesan and Aaron Landesman
We give a new proof of Serre’s result that a Noetherian local ring is regular if and only if it has finite global dimension. Our proof avoids the explicit construction of a Koszul complex. View Details
Keywords: Mathematical Methods
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Jagadeesan, Ravi, and Aaron Landesman. "A New Proof of Serre's Homological Characterization of Regular Local Rings." Art. 18. Research in Number Theory 2 (December 2016).
  • October 2015
  • Article

A New Gal(ℚ^⎯/ℚ)-invariant of Dessins d'enfants

By: Ravi Jagadeesan
We study the action of Gal(ℚ^⎯/ℚ) on the category of Belyĭ functions (finite étale covers of ℙ^1_(ℚ^⎯) \ {0,1,∞}. We describe a new combinatorial Gal(ℚ^⎯/ℚ)‐invariant for Belyĭ functions whose monodromy cycle types above 0 and ∞ are the same. We use a version of our... View Details
Keywords: Mathematical Methods
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Jagadeesan, Ravi. "A New Gal(ℚ^⎯/ℚ)-invariant of Dessins d'enfants." Proceedings of the London Mathematical Society 111, no. 4 (October 2015): 911–935.
  • 2014
  • Article

Ascent-Descent Young Diagrams and Pattern Avoidance in Alternating Permutations

By: Ravi Jagadeesan
We investigate pattern avoidance in alternating permutations and an alternating analogue of Young diagrams. In particular, using an extension of Babson and West’s notion of shape-Wilf equivalence described in our recent paper (with N. Gowravaram), we generalize results... View Details
Keywords: Pattern Avoidance; Alternating Permutations; Shape-Wilf Equivalence; Mathematical Methods
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Jagadeesan, Ravi. "Ascent-Descent Young Diagrams and Pattern Avoidance in Alternating Permutations." #P3.9. Electronic Journal of Combinatorics 21, no. 3 (2014).
  • Article

Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions

By: Daniel M. Kane and Scott Duke Kominers
For relatively prime positive integers and r, we consider the least common multiple L_n:=\mathop{\textrm{lcm}}(u_0,u_1,\dots, u_n) of the finite arithmetic progression \{u_k:=u_0+kr\}_{k=0}^n. We derive new lower bounds on L_n that improve upon those obtained... View Details
Keywords: Mathematical Methods
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Kane, Daniel M., and Scott Duke Kominers. "Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Canadian Mathematical Bulletin 57, no. 3 (September 2014): 551–561.
  • 1987
  • Chapter

Continuous-Time Stochastic Models

By: Robert C. Merton
Keywords: Mathematical Methods
Citation
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Merton, Robert C. "Continuous-Time Stochastic Models." In The New Palgrave: A Dictionary of Economic Theory and Doctrine, edited by John Eatwell, Murray Milgate, and Peter Newman. London: Macmillan Press, 1987. (Revised in The New Palgrave Dictionary of Money and Finance, London: MacMillan Press, Ltd., 1992.)
  • February 1996
  • Exercise

Problems in Variance Analysis

By: William J. Bruns Jr.
Keywords: Mathematical Methods
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Bruns, William J., Jr. "Problems in Variance Analysis." Harvard Business School Exercise 196-120, February 1996.
  • May 1983
  • Article

Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming

By: André Perold and R. Meidan
Keywords: Mathematical Methods
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Perold, André, and R. Meidan. "Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming." Journal of Optimization Theory and Applications 40, no. 1 (May 1983): 61–76.
  • February 2005 (Revised November 2006)
  • Background Note

Using Data Desk for Statistical Analysis

By: Frances X. Frei and Dennis Campbell
Describes how to use the Data Desk software package to perform statistical analysis. View Details
Keywords: Mathematical Methods
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Frei, Frances X., and Dennis Campbell. "Using Data Desk for Statistical Analysis." Harvard Business School Background Note 605-060, February 2005. (Revised November 2006.)
  • March 2004
  • Tutorial

Variance Analysis Tutorial

By: David F. Hawkins and Jacob Cohen
An interactive tutorial on variance analysis, flexible budgets, and overhead allocation. View Details
Keywords: Mathematical Methods
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"Variance Analysis Tutorial." Harvard Business School Tutorial 104-709, March 2004.
  • March 2004
  • Tutorial

HBS Quantitative Analysis Course

By: Janice H. Hammond
Keywords: Mathematical Methods
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"HBS Quantitative Analysis Course." Harvard Business School Tutorial 604-702, March 2004.
  • 1977
  • Article

On the Joint Distribution of Left- and Right-sided Outliner Statistics

By: André Perold and D. M. Hawkins
Keywords: Mathematical Methods
Citation
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Perold, André, and D. M. Hawkins. "On the Joint Distribution of Left- and Right-sided Outliner Statistics." Utilitas mathematica 12 (1977): 129–143.
  • Profile

Jessey Jin

prepared you for your current role & your long term career? The idea of helping students prepare for a long term career can be found in case discussion, club events, alumni activities and so on. The school put together lots of... View Details
Keywords: Investment Banking; Technology; Manufacturing
  • 04 Jul 2023
  • News

How Unilever Is Preparing for the Future of Work

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