Worked on topological data analysis as a parity-violation search method.
Worked on a direct-counting GPU code for N-Point Correlation Functions.
Presented at AAS 2023 meeting.
Explored signatures of primordial non-Gaussianity in the even-parity 4-Point Correlation Function.
Developed SARABANDE, a Fast Fourier Transform-based version of the 3 and 4PCF algorithms of the group, publicly available in python. Using for studies of MHD turbulence with current group member Victoria Williamson.
Sunseri, Slepian, Portillo, Hou, Kahraman, & Finkbeiner, SARABANDE: 3/4 point correlation functions with fast Fourier transforms, RASTI.
Presented at AAS 2023 meeting.
Code here.
Developed a new method to accelerate fitting the Baryon Acoustic Oscillation Scale in the 2-Point Correlation Function, Taylor-expanding around its best known value to enable quick determination of the fit.
Hansen, Krolewski, & Slepian, Accelerating BAO scale fitting using Taylor series, MNRAS.
Code here.
Project on reconstructing the baryon-dark matter relative velocity in the local Universe to see if it could have impacted formation of the Milky Way.
Generalized double and triple spherical Bessel function integrals to singular cases where the integral diverges but the result can be expressed as Dirac delta functions and their derivatives.
Meigs & Slepian, On a General Method for Resolving Integrals of Multiple Spherical Bessel Functions Against Power Laws into Distributions, in submission.
We collaborated on a large number of projects, ranging from the ENCORE NPCF algorithm, which used work by ZS and Bob Cahn on isotropic basis functions to extend the 3PCF algorithm of ZS and Daniel Eisenstein, to novel studies of data with this code, to integral identities for spherical Bessel functions, to a new approach to spherical collapse and Kepler's equation. Papers below.
Philcox & Slepian, Beyond the Yamamoto approximation: Anisotropic power spectra and correlation functions with pairwise lines of sight, PRD.
Philcox, Slepian, Hou, Warner, Cahn, & Eisenstein, ENCORE: an O (Ng2) estimator for galaxy N-point correlation functions, MNRAS.
Philcox & Slepian, Efficient computation of N-point correlation functions in D dimensions, PNAS.
Philcox, Hou & Slepian, A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample, submitted.
Slepian & Philcox, A uniform spherical goat (problem): explicit solution for homologous collapse's radial evolution in time, MNRASL.
Philcox, Goodman, & Slepian, Kepler’s Goat Herd: An exact solution to Kepler’s equation for elliptical orbits, MNRAS.
Hou, Cahn, Philcox, & Slepian, Analytic Gaussian covariance matrices for galaxy N -point correlation functions, PRD.
Philcox & Slepian, An exact integral-to-sum relation for products of Bessel functions, PRSA.
We developed a new, efficient method to use a more exact line of sight to galaxy triplets, to lessen the impact of wide-angle redshift-space distortions when measuring the redshift-space 3-Point Correlation Function.
Garcia & Slepian, Improving the line of sight for the anisotropic 3-point correlation function of galaxies: Centroid and Unit-Vector-Average methods scaling as 𝒪 (N2), MNRAS.
Worked on a novel way to isolate the bispectrum configurations most sensitive to Baryon Acoustic Oscillations (BAO).
Child, Takada, Nishimichi, Sunayama, Slepian, Habib, Heitmann, Bispectrum as baryon acoustic oscillation interferometer, PRD 2018.
Child, Slepian, Takada, A Physical Picture of Bispectrum Baryon Acoustic Oscillations in the Interferometric Basis, in submission.
Worked on developing the analytic covariance template to enable an analysis of the anisotropic 3PCF in the basis of spherical harmonics suggested by Slepian & Eisenstein 2017.
Worked on reconstructing the baryon-dark matter relative velocity.
Worked on reconstructing the baryon-dark matter relative velocity.
Received award for one of the ten best final research presentations in RSI.
Worked on a Fourier-Transform-based implementation of the 3PCF algorithm of Slepian & Eisenstein 2016, subsequently used in our studies of the 3PCF of MHD turbulence simulations in Portillo, Slepian, Burkhart, Kahraman, & Finkbeiner 2018 and eventually culminating in the SARABANDE package of Sunseri, Slepian, Portillo, Kahraman, & Finkbeiner (2023).