<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0" xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:googleplay="http://www.google.com/schemas/play-podcasts/1.0"><channel><title><![CDATA[A Mathematician Lurking in the TechUnderWorld: Behind Tech Matrix]]></title><description><![CDATA[Behind Tech Matrix exposes the hidden trends, secret moves, and underground signals shaping the future of technology before the mainstream even notices them.

What was once reserved for the tech elite is now within your reach.]]></description><link>https://www.josecrespophd.org/s/behind-tech-matrix</link><image><url>https://substackcdn.com/image/fetch/$s_!gOaz!,w_256,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F56c7ab0d-ed6f-4d23-83dc-074a72323366_720x720.png</url><title>A Mathematician Lurking in the TechUnderWorld: Behind Tech Matrix</title><link>https://www.josecrespophd.org/s/behind-tech-matrix</link></image><generator>Substack</generator><lastBuildDate>Mon, 29 Jun 2026 21:28:24 GMT</lastBuildDate><atom:link href="https://www.josecrespophd.org/feed" rel="self" type="application/rss+xml"/><copyright><![CDATA[Jose Crespo, PhD]]></copyright><language><![CDATA[en]]></language><webMaster><![CDATA[josecrespo@substack.com]]></webMaster><itunes:owner><itunes:email><![CDATA[josecrespo@substack.com]]></itunes:email><itunes:name><![CDATA[Jose Crespo PhD]]></itunes:name></itunes:owner><itunes:author><![CDATA[Jose Crespo PhD]]></itunes:author><googleplay:owner><![CDATA[josecrespo@substack.com]]></googleplay:owner><googleplay:email><![CDATA[josecrespo@substack.com]]></googleplay:email><googleplay:author><![CDATA[Jose Crespo PhD]]></googleplay:author><itunes:block><![CDATA[Yes]]></itunes:block><item><title><![CDATA[The AI That Cracks the Context Problem Is Coming for Your Job]]></title><description><![CDATA[Better learn the math of context before the next AI wave learns your job.]]></description><link>https://www.josecrespophd.org/p/the-ai-that-cracks-the-context-problem</link><guid isPermaLink="false">https://www.josecrespophd.org/p/the-ai-that-cracks-the-context-problem</guid><dc:creator><![CDATA[Jose Crespo PhD]]></dc:creator><pubDate>Mon, 29 Jun 2026 16:54:52 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!dXuq!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[<div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!dXuq!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!dXuq!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 424w, https://substackcdn.com/image/fetch/$s_!dXuq!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 848w, https://substackcdn.com/image/fetch/$s_!dXuq!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 1272w, https://substackcdn.com/image/fetch/$s_!dXuq!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!dXuq!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png" width="1456" height="819" data-attrs="{&quot;src&quot;:&quot;https://substack-post-media.s3.amazonaws.com/public/images/1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png&quot;,&quot;srcNoWatermark&quot;:null,&quot;fullscreen&quot;:null,&quot;imageSize&quot;:null,&quot;height&quot;:819,&quot;width&quot;:1456,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:2234592,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image/png&quot;,&quot;href&quot;:null,&quot;belowTheFold&quot;:false,&quot;topImage&quot;:true,&quot;internalRedirect&quot;:&quot;https://www.josecrespophd.org/i/204143761?img=https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png&quot;,&quot;isProcessing&quot;:false,&quot;align&quot;:null,&quot;offset&quot;:false}" class="sizing-normal" alt="" srcset="https://substackcdn.com/image/fetch/$s_!dXuq!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 424w, https://substackcdn.com/image/fetch/$s_!dXuq!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 848w, https://substackcdn.com/image/fetch/$s_!dXuq!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 1272w, https://substackcdn.com/image/fetch/$s_!dXuq!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d7c2440-df96-46d7-930f-4112833eda19_1672x941.png 1456w" sizes="100vw" fetchpriority="high"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption">Figures, animations, diagrams, and plots were created by the author using Stable Diffusion, Blender, and Python libraries.</figcaption></figure></div><div class="pullquote"><p>Coding was the first layer to fall.</p><p>AI engineering still looks protected, but that safety is thinner than it seems. It is built on the same flat-vector imagination that made today&#8217;s models powerful and fragile at the same time.</p><p>The next defensible skill is not simply building bigger models or wiring more agents together.</p><p>It is learning how to place computation inside geometry, where context can finally be measured instead of guessed.</p></div><p></p><h3>Software Development Is Already on AI Life Support</h3><p>Many of us saw the writing on the wall the moment the COVID pandemic lifted and the new generation of transformer chatbots arrived.</p><p>First, they gutted Stack Overflow.</p><p>Now they are coming for entire professions, and software development is the first white-collar field where the damage is impossible to ignore.</p><p>Junior and mid-level positions are <a href="https://digitaleconomy.stanford.edu/app/uploads/2025/11/CanariesintheCoalMine_Nov25.pdf">shrinking at a pace the industry has never seen before</a>, and the squeeze is now reaching senior roles too.</p><p>On the other side of the coin, for now, the view looks better.</p><p><a href="https://hai.stanford.edu/ai-index/2026-ai-index-report/economy">AI engineers</a>, and everyone whose output has been multiplied by an AI assistant, seem to be thriving.</p><p>But are they actually safe?</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!MsYl!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!MsYl!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 424w, https://substackcdn.com/image/fetch/$s_!MsYl!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 848w, https://substackcdn.com/image/fetch/$s_!MsYl!,w_1272,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 1272w, https://substackcdn.com/image/fetch/$s_!MsYl!,w_1456,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 1456w" sizes="100vw"><img src="https://substackcdn.com/image/fetch/$s_!MsYl!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png" width="1158" height="720" 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srcset="https://substackcdn.com/image/fetch/$s_!MsYl!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 424w, https://substackcdn.com/image/fetch/$s_!MsYl!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 848w, https://substackcdn.com/image/fetch/$s_!MsYl!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 1272w, https://substackcdn.com/image/fetch/$s_!MsYl!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F5cef849b-ce74-4f75-bd62-d511c41bcdb0_1158x720.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><strong>The Senior Boom Is a Statistical Mirage. </strong>Seniors are thriving, up nine percent while juniors collapse. That +9% is a lie of averaging. Disaggregate it: the seniors who absorbed AI into their workflow are up sixteen percent; the holdouts are down eight. The aggregate only looks safe because the winners drag the losers across the line. There is no neutral middle anymore. A senior developer is either an AI-native pulling ahead or a holdout quietly sinking.</figcaption></figure></div><h3>You Need an AI Workflow. And Now It Is Almost Too Late.</h3><p>The first brutal lesson from the wreckage of tech jobs is simple:</p><p>This is no longer a matter of choice.</p><p>If you work in tech, you either build your own workflow of AI assistants now, or you start looking for a skilled trade outside the blast radius.</p><p>Yes, humans are still needed in the loop. Yes, today&#8217;s flat AI is still far from replacing a serious developer end to end. And yes, if you ship production code, you still supervise everything the assistant hands you.</p><p>But none of that is an argument against using AI.</p><p><strong>It is an argument against using it badly.</strong></p><p>And the worst way to use AI is to lean on a single assistant as if it were a magic black box.</p><p>Claude, Cursor, ChatGPT, Copilot, whatever name you prefer, <a href="https://www.veracode.com/resources/state-of-software-security/">none of them should be trusted alone</a>.</p><p>Some of you already know this. Unfortunately, many still do not: one AI code assistant is not a workflow. It can miss the context, misunderstand the problem, and dress a bad fix in clean code.</p><p>So if your whole setup is one assistant and blind trust, you are not engineering with AI. You are working with a chimera: part autocomplete, part sycophantic parrot.</p><div class="captioned-image-container"><figure><a class="image-link image2 is-viewable-img" target="_blank" href="https://substackcdn.com/image/fetch/$s_!-OIe!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png" data-component-name="Image2ToDOM"><div class="image2-inset"><picture><source type="image/webp" srcset="https://substackcdn.com/image/fetch/$s_!-OIe!,w_424,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png 424w, https://substackcdn.com/image/fetch/$s_!-OIe!,w_848,c_limit,f_webp,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png 848w, 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srcset="https://substackcdn.com/image/fetch/$s_!-OIe!,w_424,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png 424w, https://substackcdn.com/image/fetch/$s_!-OIe!,w_848,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png 848w, https://substackcdn.com/image/fetch/$s_!-OIe!,w_1272,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png 1272w, https://substackcdn.com/image/fetch/$s_!-OIe!,w_1456,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F116521ab-7179-4233-9c36-0a52a9d69fc7_1485x1061.png 1456w" sizes="100vw" loading="lazy"></picture><div class="image-link-expand"><div class="pencraft pc-display-flex pc-gap-8 pc-reset"><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container restack-image"><svg role="img" width="20" height="20" viewBox="0 0 20 20" fill="none" stroke-width="1.5" stroke="var(--color-fg-primary)" stroke-linecap="round" stroke-linejoin="round" xmlns="http://www.w3.org/2000/svg"><g><title></title><path d="M2.53001 7.81595C3.49179 4.73911 6.43281 2.5 9.91173 2.5C13.1684 2.5 15.9537 4.46214 17.0852 7.23684L17.6179 8.67647M17.6179 8.67647L18.5002 4.26471M17.6179 8.67647L13.6473 6.91176M17.4995 12.1841C16.5378 15.2609 13.5967 17.5 10.1178 17.5C6.86118 17.5 4.07589 15.5379 2.94432 12.7632L2.41165 11.3235M2.41165 11.3235L1.5293 15.7353M2.41165 11.3235L6.38224 13.0882"></path></g></svg></button><button tabindex="0" type="button" class="pencraft pc-reset pencraft icon-container view-image"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="lucide lucide-maximize2 lucide-maximize-2"><polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" x2="14" y1="3" y2="10"></line><line x1="3" x2="10" y1="21" y2="14"></line></svg></button></div></div></div></a><figcaption class="image-caption"><strong>Defensive Programming : Guarding Against Your Own AI. </strong>Defensive programming used to mean guarding against bad input. Now, it means guarding against your own AI. Never one assistant: one Claude session writes, a second checks it, ChatGPT attacks it from the other side, and you, the human gate, read the confusion matrix before a line ships. Master this and you survive the first wave. But every box exists only because flat AI cannot remember what its own answer means. This diagram is a cast on a broken bone. geoAI sets the bone and makes the cast disappear.</figcaption></figure></div><p><a href="https://arxiv.org/abs/2410.09724">And because today&#8217;s AI still lacks real Bayesian judgmen</a>t, you have to do something <a href="https://arxiv.org/html/2512.16030">the model will not reliably do for you</a>: read the confusion matrix.</p>
      <p>
          <a href="https://www.josecrespophd.org/p/the-ai-that-cracks-the-context-problem">
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