<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>graysite</title><link>https://grfrazier.github.io/</link><description>Recent content on graysite</description><generator>Hugo -- gohugo.io</generator><language>en</language><managingEditor>gfrazie2@jhu.edu (Grayson R. Frazier)</managingEditor><webMaster>gfrazie2@jhu.edu (Grayson R. Frazier)</webMaster><copyright>&amp;copy; 2025 G. R. Frazier. All Rights Reserved.</copyright><lastBuildDate>Tue, 19 Aug 2025 22:48:58 -0400</lastBuildDate><atom:link href="https://grfrazier.github.io/index.xml" rel="self" type="application/rss+xml"/><item><title>Research Overview</title><link>https://grfrazier.github.io/research/</link><pubDate>Tue, 19 Aug 2025 22:48:58 -0400</pubDate><author>gfrazie2@jhu.edu (Grayson R. Frazier)</author><guid>https://grfrazier.github.io/research/</guid><description>&lt;!--&lt;div style="display: flex; align-items: center; gap: 20px;"&gt;--&gt;
&lt;!--&lt;div style="flex: 3;"&gt;--&gt;
&lt;!--&lt;b&gt;Research Interests:&lt;/b&gt;--&gt;
&lt;!--&lt;ul&gt;--&gt;
&lt;!-- &lt;li&gt; Unconventional superconductivity--&gt;
&lt;!-- &lt;li&gt; Topological many body order--&gt;
&lt;!-- &lt;li&gt; Strongly correlated systems--&gt;
&lt;!--&lt;/ul&gt;--&gt;
&lt;!--An up-to-date list of publications can be found at--&gt;
&lt;!--[Google Scholar](https://scholar.google.com/citations?&amp;user=EIR50qkAAAAJ)--&gt;
&lt;!--or--&gt;
&lt;!--[Orcid ID](https://orcid.org/0000-0002-3707-2118).--&gt;
&lt;!--Below is a list of selected [publications](#publications) and [presentations](#presentations)--&gt;
&lt;!--&lt;/div&gt;--&gt;
&lt;!--&lt;div style="flex: 3;"&gt;--&gt;
&lt;!--&lt;img src="https://grfrazier.github.io/images/research/effective_tunneling.sd.png" alt="figure" style="max-width:100%; height:auto;"&gt;--&gt;
&lt;!-- &lt;b&gt;Figure:&lt;/b&gt; Effective tunneling of itinerant electrons in presence of a frustrated local exchange field.--&gt;
&lt;!-- Adapted from &lt;a href="https://doi.org/10.48550/arXiv.2506.15661" target ="_blank" rel ="noopener"&gt;Frazier &lt;i&gt;et al.&lt;i&gt; (2025)&lt;/a&gt;.--&gt;
&lt;!--&lt;/div&gt;--&gt;
&lt;!--&lt;/div&gt;--&gt;
&lt;p&gt;I am currently completing my Ph.D. at Johns Hopkins University under the supervision of Prof. Yi Li, where my research explores how topological electronic states and frustrated magnetism can give rise to novel forms of unconventional superconductivity. 
I am motivated by the conceptual frontiers where existing frameworks used to describe unconventional superconducting pairing order are insufficient.
By developing theoretical models that describe the interplay between topological band structure, nontrivial magnetic textures, and unconventional superconducting order, I aim to establish new paradigms that can guide the design and application of quantum materials.&lt;/p&gt;</description></item><item><title/><link>https://grfrazier.github.io/teaching/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>gfrazie2@jhu.edu (Grayson R. Frazier)</author><guid>https://grfrazier.github.io/teaching/</guid><description>&lt;p&gt;Below is a collection of selected notes, taken from research and teaching.&lt;/p&gt;
&lt;h2 class="relative group"&gt;Selected Notes
&lt;div id="selected-notes" class="anchor"&gt;&lt;/div&gt;
&lt;span
class="absolute top-0 w-6 transition-opacity opacity-0 ltr:-left-6 rtl:-right-6 not-prose group-hover:opacity-100 select-none"&gt;
&lt;a class="group-hover:text-primary-300 dark:group-hover:text-neutral-700 !no-underline" href="#selected-notes" aria-label="Anchor"&gt;#&lt;/a&gt;
&lt;/span&gt;
&lt;/h2&gt;
&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;&lt;a
href="https://grfrazier.github.io/notes/anomalous_GF_abridged.pdf"&gt;&lt;b&gt;Superconducting Pairing Correlations and Form of Anomalous Green’s Functions&lt;/b&gt; &lt;span class="relative inline-block align-text-bottom icon"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"&gt;&lt;path fill="currentColor" d="M288 32c0-17.7-14.3-32-32-32s-32 14.3-32 32V274.7l-73.4-73.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l128 128c12.5 12.5 32.8 12.5 45.3 0l128-128c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L288 274.7V32zM64 352c-35.3 0-64 28.7-64 64v32c0 35.3 28.7 64 64 64H448c35.3 0 64-28.7 64-64V416c0-35.3-28.7-64-64-64H346.5l-45.3 45.3c-25 25-65.5 25-90.5 0L165.5 352H64zM432 456c-13.3 0-24-10.7-24-24s10.7-24 24-24s24 10.7 24 24s-10.7 24-24 24z"/&gt;&lt;/svg&gt;&lt;/span&gt;&lt;/a&gt;
&lt;details&gt;
&lt;summary&gt;Click to Expand&lt;/summary&gt;
&lt;div&gt;&lt;ul&gt;
&lt;li&gt;Nambu-Gor&amp;rsquo;kov Green&amp;rsquo;s Functions&lt;/li&gt;
&lt;li&gt;Projected pairing&lt;/li&gt;
&lt;li&gt;Equation of motion theory&lt;/li&gt;
&lt;li&gt;Matsubara frequency summation&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;/details&gt;
&lt;/p&gt;</description></item><item><title>Grayson R. Frazier</title><link>https://grfrazier.github.io/about/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>gfrazie2@jhu.edu (Grayson R. Frazier)</author><guid>https://grfrazier.github.io/about/</guid><description>&lt;!--# About Me--&gt;
&lt;p&gt;I am currently completing my Ph.D. at Johns Hopkins University under the supervision of Prof. Yi Li, where my research explores how topological electronic states and frustrated magnetism can give rise to novel forms of unconventional superconductivity.
At present, I am a graduate fellow at KITP.
&lt;a
href="#curriculum_vitae"&gt;Below is my CV&lt;/a&gt;, and you can find more information about my research &lt;a
href="https://grfrazier.github.io/research"&gt;here&lt;/a&gt;.&lt;/p&gt;
&lt;p&gt;Outside my work, you can find me playing saxophone semiprofessionally, and
I also enjoy composing and also transcribing jazz music.
I have handpicked a &lt;a
href="https://grfrazier.github.io/music/"&gt;few transcriptions&lt;/a&gt; from some of my favorite solos.&lt;/p&gt;</description></item><item><title>Music</title><link>https://grfrazier.github.io/music/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>gfrazie2@jhu.edu (Grayson R. Frazier)</author><guid>https://grfrazier.github.io/music/</guid><description>&lt;p&gt;Apart from physics, I also enjoy playing and composing music.
My main instrument is saxophone, and I primarily play and compose jazz music.&lt;/p&gt;
&lt;!--Outside playing the occasional gigs, --&gt;
&lt;p&gt;I also enjoy trancribing solos in my freetime.
Below is a small selection of personal favorites, which I have typed.
Please contact me if you would prefer a transposed version.&lt;/p&gt;
&lt;!--[&lt;span class="relative inline-block align-text-bottom icon"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512"&gt;&lt;path fill="currentColor" d="M511.1 367.1c0 44.18-42.98 80-95.1 80s-95.1-35.82-95.1-79.1c0-44.18 42.98-79.1 95.1-79.1c11.28 0 21.95 1.92 32.01 4.898V148.1L192 224l-.0023 208.1C191.1 476.2 149 512 95.1 512S0 476.2 0 432c0-44.18 42.98-79.1 95.1-79.1c11.28 0 21.95 1.92 32 4.898V126.5c0-12.97 10.06-26.63 22.41-30.52l319.1-94.49C472.1 .6615 477.3 0 480 0c17.66 0 31.97 14.34 32 31.99L511.1 367.1z"/&gt;&lt;/svg&gt;&lt;/span&gt; What am I listening to now? &lt;span class="relative inline-block align-text-bottom icon"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512"&gt;&lt;path fill="currentColor" d="M511.1 367.1c0 44.18-42.98 80-95.1 80s-95.1-35.82-95.1-79.1c0-44.18 42.98-79.1 95.1-79.1c11.28 0 21.95 1.92 32.01 4.898V148.1L192 224l-.0023 208.1C191.1 476.2 149 512 95.1 512S0 476.2 0 432c0-44.18 42.98-79.1 95.1-79.1c11.28 0 21.95 1.92 32 4.898V126.5c0-12.97 10.06-26.63 22.41-30.52l319.1-94.49C472.1 .6615 477.3 0 480 0c17.66 0 31.97 14.34 32 31.99L511.1 367.1z"/&gt;&lt;/svg&gt;&lt;/span&gt;](https://paultowndrow.bandcamp.com/album/deepening-the-river)--&gt;
&lt;figure style="width: 100%;"&gt;
&lt;img src="https://grfrazier.github.io/images/grf_sax.jpeg" style="width: 50%;" &gt;
&lt;/figure&gt;
&lt;hr&gt;
&lt;h2 class="relative group"&gt;Selected Transcriptions
&lt;div id="selected-transcriptions" class="anchor"&gt;&lt;/div&gt;
&lt;span
class="absolute top-0 w-6 transition-opacity opacity-0 ltr:-left-6 rtl:-right-6 not-prose group-hover:opacity-100 select-none"&gt;
&lt;a class="group-hover:text-primary-300 dark:group-hover:text-neutral-700 !no-underline" href="#selected-transcriptions" aria-label="Anchor"&gt;#&lt;/a&gt;
&lt;/span&gt;
&lt;/h2&gt;
&lt;h3 class="relative group"&gt;Chris Potter: Solo from &amp;ldquo;Train&amp;rdquo;
&lt;div id="chris-potter-solo-from-train" class="anchor"&gt;&lt;/div&gt;
&lt;span
class="absolute top-0 w-6 transition-opacity opacity-0 ltr:-left-6 rtl:-right-6 not-prose group-hover:opacity-100 select-none"&gt;
&lt;a class="group-hover:text-primary-300 dark:group-hover:text-neutral-700 !no-underline" href="#chris-potter-solo-from-train" aria-label="Anchor"&gt;#&lt;/a&gt;
&lt;/span&gt;
&lt;/h3&gt;
&lt;p&gt;From &lt;a
href="https://www.youtube.com/watch?v=s9PJj1FfoHk"
target="_blank"
&gt;&lt;em&gt;Follow the Red Line&lt;/em&gt; (2010)&lt;/a&gt; &lt;br&gt;
&lt;a
href="https://grfrazier.github.io/transcriptions/chris_potter/train_lead_sheet_Bb.pdf"&gt;Lead Sheet (Bb) &lt;span class="relative inline-block align-text-bottom icon"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"&gt;&lt;path fill="currentColor" d="M288 32c0-17.7-14.3-32-32-32s-32 14.3-32 32V274.7l-73.4-73.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l128 128c12.5 12.5 32.8 12.5 45.3 0l128-128c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L288 274.7V32zM64 352c-35.3 0-64 28.7-64 64v32c0 35.3 28.7 64 64 64H448c35.3 0 64-28.7 64-64V416c0-35.3-28.7-64-64-64H346.5l-45.3 45.3c-25 25-65.5 25-90.5 0L165.5 352H64zM432 456c-13.3 0-24-10.7-24-24s10.7-24 24-24s24 10.7 24 24s-10.7 24-24 24z"/&gt;&lt;/svg&gt;&lt;/span&gt;&lt;/a&gt;
||
&lt;a
href="https://grfrazier.github.io/transcriptions/chris_potter/chris_potter.train.solo_Bb.pdf"&gt;Solo Transcription (Bb) &lt;span class="relative inline-block align-text-bottom icon"&gt;&lt;svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"&gt;&lt;path fill="currentColor" d="M288 32c0-17.7-14.3-32-32-32s-32 14.3-32 32V274.7l-73.4-73.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l128 128c12.5 12.5 32.8 12.5 45.3 0l128-128c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L288 274.7V32zM64 352c-35.3 0-64 28.7-64 64v32c0 35.3 28.7 64 64 64H448c35.3 0 64-28.7 64-64V416c0-35.3-28.7-64-64-64H346.5l-45.3 45.3c-25 25-65.5 25-90.5 0L165.5 352H64zM432 456c-13.3 0-24-10.7-24-24s10.7-24 24-24s24 10.7 24 24s-10.7 24-24 24z"/&gt;&lt;/svg&gt;&lt;/span&gt;&lt;/a&gt;
&lt;br&gt;
(Pt. II to be typed!)&lt;/p&gt;</description></item></channel></rss>